Publications are international peer-reviewed articles, peer-reviewed articles, published in local journals: (a) articles, published in scientific journals, and (b) methodical articles, published in journals, international proceedings, fully published, other meetings, published in proceedings, internal reports, theses, books, articles or chapters in books, author’s licence, refereed brochures, methodical papers in books and brochures, problems for mathematical Olympiads, and chess problems.

Following links you can download publications:

- J. Dhaene, A. Kukush, and D. Linders, Comonotonic asset prices in arbitrage-free markets. K.U.Leuven, Preprint March 2018. DOI 10.13140/RG.2.2.33575.24485
- O.Chernova and A.Kukush, Confidence regions in Cox proportional hazards model with measurement errors and unbounded parameter set. Modern Stochastics: Theory and Applications, 2018. DOI: http://dx.doi.org/10.15559/18-VMSTA94.
- Masiuk S, Kukush A, Shklyar S. Measurement error in exposure doses and cancer risk estimation. Biostat Biometrics Open Acc J. 2018; 4(4): 555643. DOI: 10.19080/BBOAJ.2018.04.555643.
- V.Kharchenko, A.Kukush, and Iu. Chyrka, SIMPLE OBJECTS DETECTION AND RECOGNITION BY THE PROBABILISTIC APPROACH. Proceedings of the NAU, 2017, vol. 73, N4, 24-29.
- V.Kharchenko, A.Kukush, N.Kuzmenko, and I.Ostroumov, Probabilistic approach to object detection and recognition for videostream processing. Proceedings of the NAU, 2017, N2 (71), 8-14.
- A. Kukush, O. Chernova, Consistent estimation in Cox proportional hazards model with measurement errors and unbounded parameter set. arXiv:1703.10940, March 2017. Categories: math.ST, stat.TH.
- A.Kukush, Yu.Mishura, and K.Ralchenko, Hypothesis testing of the drift parameter sign for fractional Ornstein-Uhlenbeck process. Electronic Journal of Statistics, 2017, 11, N1, 385-400. DOI: 10.1214/17-EJS1237
- Ya.V.Tsaregorodtsev, A.G.Kukush, and S.V.Shklyar, Asymptotically independent estimators in a structural linear measurement error model. Ukrainian Mathematical Journal, 2016, 68, N11, 1505-1517 (in Ukraiunian language).
- A.Kukush and Ya.Tsaregorodtsev, Goodness-of-fit test in a multivariate errors-in-variables model AX=B. Modern Stochastics: Theory and Applications, 2016, 3, N4, 287-302.
- A.Kukush and Ya.Tsaregorodtsev, Convergence of estimators in the polynomial measurement error model. Th. Prob and Math. Statist., 2016, N92, 81-91.
- A. Kukush and Ya. Tsaregorodtsev, Asymptotic normality of total least squares estimator in a multivariate errors-in-variables model AX=B, Modern Stochastics: Theory and Applications 2016, Vol. 3, No.1, 47-57.
- K.C.Cheung, J.Dhaene, A.Kukush, and D.Linders, Ordered random vectors and equality in distribution. Scandinavian Actuarial Journal, 2015, N3, 221-244.
- C. Chimisov and A. Kukush, Asymptotic normality of corrected estimator in Cox proportional hazards model with measurement error.Modern Stochastics: Theory and Applications, 2014, 1, N1, 13-32.
- Little, M.P., Kukush, A.G., Masiuk, S.V., Shklyar, S.V., Carroll, R.J., Lubin, J.H., Kwon, D., Brenner, A.V., Tronko, M.D., Mabuchi, K., Bogdanova, T.I., Hatch, M., Zablotska, L.B., Tereschenko,V.P., Ostroumova, E., Bouville, A.C., Drozdovitch, V., Chepurny, M.I., Kovgan, L.N., Simon, S.L., Shpak, V.M., and Likhtarev, I.A., Impact of uncertainties in exposure assessment on thyroid cancer risk among Ukrainian children and adolescents exposed from the Chornobyl accident. PLOS ONE, 2014, 9, N1, e85723, p.1-9. Little, M.P., Kukush, A.G., Masiuk, S.V., Shklyar, S.V., Carroll, R.J., Lubin, J.H., Kwon, D., Brenner, A.V., Tronko, M.D., Mabuchi, K., Bogdanova, T.I., Hatch, M., Zablotska, L.B., Tereschenko,V.P., Ostroumova, E., Bouville, A.C., Drozdovitch, V., Chepurny, M.I., Kovgan, L.N., Simon, S.L., Shpak, V.M., and Likhtarev, I.A., Impact of uncertainties in exposure assessment on thyroid cancer risk among Ukrainian children and adolescents exposed from the Chornobyl accident. PLOS ONE, 2014, 9, N1, e85723. Supporting information.
- D.S.Pupashenko, S.V.Shklyar, and A.G.Kukush, Asymptotic properties of Corrected Score estimator in autoregressive model with measurement errors. Teor. Imovir. ta Matem. Statyst., 2013, N89, 156-166.
- J.Dhaene, A.Kukush, and D.Linders, The multivariate Black & Scholes market: conditions for completeness and no-arbitrage. Teor. Imovir. ta Matem. Statyst., 2013, N88, 76-89.
- J.Dhaene, A.Kukush, E.Luciano, W.Schoutens, B.Stassen, On the (in)-dependence between financial and actuarial risks. Insurance: Mathematics and Economics, 2013, 52(3), 522-531.
- I.Likhtarov, S.Masiuk, M.Chepurny, A.Kukush, S.Shklyar, A.Bouville and L.Kovgan, Error estimation for direct measurements in May—June 1986 of 131I radioactivity in thyroid gland of children and adolescents and their registration in risk analysis. In: Mathematics and Life Sciences, Publ. House De Gruyter (eds. A. Antoniouk and R. Melnik), 2013, 231-244.
- J.Dhaene, A.Kukush, D.Linders, and Q.Tang, Remarks on quantiles and distortion risk measures. European Actuarial Jornal, 2012, 2, N2, 319-328.
- V.P.Kharchenko, A.G.Kukush, E.A. Znakovska, Mathematical model for identification of constellation of navigation sputniks GPS, GLONASS and GALILEO. Proceedings of the NAU, 2012, N3(52), 5-8 (Ukrainian).
- A.Kukush, S.Baran, I.Fazekas and E.Usoltseva, Simultaneous estimation of baseline hazard rate and regression parameters in Cox proportional hazards model with measurement error. Journal of Statistical Research, 2011, 45, N2, 77-94.
- A.Kukush, Maximum likelihood estimators in a statistical model of natural catastrophe claims with stochastic growth. Proceedings of 58th World Statistical Congress of the ISI, Dublin, 2011. Published online: http://isi2011.congressplanner.eu/pdfs/650137.pdf
- A.Kukush, S.Shklyar, S.Masiuk, I.Likhtarov, L. Kovgan, A.Bouville, and R.Carroll,
*Methods for Estimation of Radiation Risk in Epidemiological Studies Accounting for Classical and Berkson Errors in Doses.*The International Journal of Biostatistics, 2011, 7, N1, Article 15. - A. Kukush,
*Measurement error models.*In: International Encyclopedia of Statistical Science. Ed. M.Lovric, Springer, 2011, 795-798. - E.Usoltseva and A.Kukush,
*New functional estimator in quadratic errors-in-variables model.*Theory of Stochastic Processes, 2010, 16 (32), N2, 126-131. (*.pdf, 150 Kb) - A.Kukush, A.Malenko, H.Schneeweiss, and Shalabh,
*Optimality of Quasi-Score in the multivariate mean-variance model with application to the zero-inflated Poisson model with measurement errors.*Statistics, 2010, 44, N4, 381-396 (*.pdf, 214 Kb) - A.Kukush, A.Malenko, and H.Schneeweiss,
*Optimality of the quasi score estimator in a mean-variance model with applications to measurement error models.*Journal of Statistical Planning and Inference, 2009, 139, N10, 3461-3472. (*.pdf, 180 Kb) - H.Schneeweiss and A.Kukush,
*Comparing the efficiency of structural and functional methods in measurement error models.*

Probability Theory and Mathematical Statistics, 2009, N80, 117-127. - (Russian). S.V.Masyuk, S.V.Shklyar, A.G.Kukush, and S.E.Vavilov, Influence of uncertainty in doses on estimation of radiation risks. Radiation and Risk, 2008, 8, N3. (Russian).
- M.Pupashenko and A.Kukush,
*Reselling of European option if the implied volatility varies as Cox-Ingersoll-Ross process.*

Theory of Stochastic Processes, 2008, 14 (30), N3-4, 114-128. - E.Usoltseva and A.Kukush,
*Optimality of CS estimators in nonlinear errors-in-variables model when non-intercept terms are small*

J. Numer. Appl. Math., 2008, 1 (96), 139-148. - R.Lundgren, D.Silvestrov, and A.Kukush,
*Reselling of options and convergence of option rewards*.

J. Numer. Appl. Math., 2008, 1 (96), 90-113. - A.Kukush and A.Malenko, Goodness-of-fit test in a structural errors-in-variables model based on a score function.

Austrian Journal of Statistics, 2008, 37, N1, 71-79. - S.Shklyar, A.Kukush, I.Markovsky, and S.Van Huffel, On the conic section fitting problem. Journal of Multivariate Analysis, 2007, 98, 3, 588-624.
- A.Kukush and M.Pupashenko, Bounds for a sum of random variables under a mixture of normals. Theory of Stochastic Processes, 2007, 13 (29), N4, 82-97
- A.Kukush, A.Malenko, and H.Schneeweiss, Comparing the efficiency of estimates in concrete errors-in-variables models under unknown nuisance parameters. Theory of Stochastic Processes, 2007, 13 (29), N4, 69-81.
- A.Kukush, I.Markovsky, and S.Van Huffel, Estimation in a linear multivariate measurement error model with a change point in the data. Computational Statistics and Data Analysis, 2007, 52, 2, 1167-1182.
- A.Kukush, Yu. Mishura, and G.Shevchenko, On reselling of European options. Theory of Stochastic Processes, 2006, 12 (28), N3-4, 80-93.
- A.Kukush and M.Poleha, A goodness-of-fit test for a multivariate errors-in-variables model. Theory of Stochastic Processes, 2006, 12 (28), N3-4, 67-79.
- J.Dhaene, A.Kukush, and M.Pupashenko, On the structure of premium principle under pointwise comonotonicity. Theory of Stochastic Processes, 2006, 12 (28), N3-4, 27-45.
- S.Shklyar, H.Schneeweiss, and A.Kukush, Quasi Score is more efficient than Corrected Score in a polynomial measurement error model. Metrika, 2007, 65, N3, 275-295. (*.pdf, 222 Kb)
- V.P.Kharchenko, A.G.Kukush, S.V.Nagaev, E.A.Znakovskaja, and S.I.Docenko, About modeling of rare events. Cybernetics and Systems Analysis, 2006, N1, 42, N1, 76-85.
- I.Fazekas and A.Kukush, Kriging and measurement errors. Discussiones 139-159.
- C.-L.Cheng and A.Kukush, Non-existence of the first moment of the adjusted least squares estimator in multivariate errors-in-variables model. Metrika, 2006, 64, N1, 41-46
- S.Shklyar, A.Kukush, I.Markovsky, and S.Van Huffel, On the conic section fitting problem. Journal of Multivariate Analysis, 2007, 98, 588-624.
- V.P.Kharchenko, A.G.Kukush, and V.N.Vasylyev, Stochastic evaluation of aircraft collision risk at cooperative air traffic control. Control Problems and Informatics, 2005, N5, 56-63.
- I.Markovsky, M.-L.Rastello, A.Premoli, A.Kukush, and S.Van Huffel, The element-wise weighted total least squares problem. Computational Statistics and Data Analysis, 2005, 50, N1, 181-209.
- V.P.Kharchenko, A.G.Kukush, and V.N.Vasylyev, A generalized stochastic method for estimating the characteristics of potential conflicts of a controlled air traffic.Cybernetics and Systems Analysis, 2005, vol. 41, N3, 385-396.
- A.Kukush and I.Fazekas, Kriging and prediction of nonlinear functionals. Austrian Journal Statistics, 2005, 34, N2, 175-184. (*.pdf)
- A.Kukush and H.Schneeweiss, Comparing different estimators in a non-linear measurement error model. I. Mathematical Methods of Statistics, 2005, 14, N1, 53-79. (*.zip)
- A.Kukush and H.Schneeweiss, Comparing different estimators in a non-linear measurement error model. II. Mathematical Methods of Statistics, 2005, 14, N2, 203-223. (*.zip)
- A.Kukush, I.Markovsky, and S.Van Huffel, Consistency of the structured total least squares estimator in a multivariate errors-in-variables model. Journal of Statistical Planning and Inference, 2005, 133, N2, 315-358. (453 Kb) (*.zip, 379Kb)
- V.P.Kharchenko, A.G.Kukush, and V.N.Vasylyev, Methods of conflict probability evaluation for air traffic management system. Journal of Automation and Information Sciences, 2005, N1, 88-97.
- A.Kukush, Yu. Mishura, and E.Valkeila, Statistical inference with fractional Brownian motion. Statistical Inference for Stochastic Processes, 2005, 8, N1, 71-93.
- A.Kukush, H.Schneeweiss, and R.Wolf, Relative efficiency of three estimators in a polynomial regression with measurement errors. Journal of Statistical Planning and Inference, 2005, 127, N1-2, 179-203.
- H.Jonsson, A.G.Kukush, and D.S.Silvestrov, Threshold structure of optimal stopping strategies for American type option. II. Theory Probability and Mathematical Statistics, 2005, N72, 42-53.
- H.Jonsson, A.G.Kukush, and D.S.Silvestrov, Threshold structure of optimal stopping strategies for American type option. I. Theory Probability and Mathematical Statistics, 2004, N71, 113-123.
- I.Fazekas, A.Kukush, and S.Zwanzig, Correction of nonlinear orthogonal regression estimator. Ukrainian Mathematical Journal, 2004, 56, 8, 1101-1118.(*.zip)
- A.Kukush, and H.Schneeweiss, A note on matrix inequality for generalized means. Linear Algebra and Its Applications, 2004, 388C, 289-294. (*.zip)
- A.Kukush, I.Markovsky, and S.Van Huffel, Consistent estimation in an implicit quadratic measurement error model. Computational Statistics and Data Analysis, 2004, 47, 1, 123-147. (*.pdf)
- I.Markovsky, A.Kukush, and S.Van Huffel, Consistent least squares fitting of ellipsoids. Numerische Mathematik, 2004, 98, 1, 177-194. (118 Kb)
- I.Markovsky, A.Kukush, and S.Van Huffel, On the computation of the structured total least squares estimator. Numerical Linear Algebra with Applications, 2004, 11, 591-608. (174 Kb) (*.zip, 144 Kb)
- A.Kukush, H.Schneeweiss, and R.Wolf, Three estimators for the Poisson regression model with measurement errors. Statistical Papers, 2004, 45, N3, 351-368.(*.zip)
- A.Kukush, Yu.Chernikov, and D.Pfeifer, Maximum likelihood estimators in a statistical model of natural catastrophe claims with trend. Extremes, 2004, 7, N4, 309-337.
- A.G.Kukush, and D.S.Silvestrov, Optimal pricing for American type options with discrete time. Theory of Stochastic Processes, 2004, 10(26), N1-2, 72-96.
- A.Kukush, and S. Van Huffel, Consistency of element-wise weighted total least squares estimator in a multivariate errors-in-variables model AX=B. Metrika, 2004, 59, N1, 75-97. (283 Kb) (*.zip, 108 Kb)
- C.-L. Cheng, and A. Kukush, Goodness-of-fit test in a polynomial errors-in-variables model. Ukrainian Math. Journ., 2004, 56, N4, 527-543.(*.zip)
- A.Kukush, and E.-O. Maschke, The efficiency of adjusted least squares in the linear functional relationship. Journal of Multivariate Analysis, 2003, 87, N2, 261-274. (204 Kb) (*.zip, 170 Kb)
- A.Kukush, I.Markovsky, and S.Van Huffel, Consistent adjusted least squares estimator for errors-in-variables model AXB=C. Metrika, 2003, 57, N3, 253-285. (481 Kb) (*.zip, 408 Kb)
- A.G.Kukush, and Yu.S.Mishura. Asymptotic efficiency of statistical estimators in a combined Poisson model. Th. Probability and Mathem. Stat., 2003, N68, 72-85.(*.zip)
- A.Kukush, I.Markovsky, and S.Van Huffel, Consistent fundamental matrix estimator in a quadratic measurement error model arising in motion analysis, Computational Statistics and Data Analysis, 2002, 41, N1, 3-18. (184 Kb) (*.zip, 151 Kb)
- A.Kukush, and A.Stepanishcheva, Asymptotic properties of the estimator of intensity of inhomogeneous Poisson field. Th. Probability and Mathem. Stat., 2002, N 65, 97-109.
- H.Jonsson, A.G.Kukush, and D.S.Silvestrov, Threshold structure of optimal stopping domains for American type options. Theory Stoch. Proc., 2002, 8(24), N1-2, 169-177.
- A.G.Kukush, and S.Zwanzig, On the adaptive minimum contrast estimator in a model with non-linear functional relations. Ukrainian Math. Journ., 2001, 53, N9, 1445-1452.(*.zip)
- A.G.Kukush, and D.S.Silvestrov, Skeleton approximations of optimal stopping strategies for American type options with continuous time. Theory of Stochastic Process, 2001, 7(23), N1-2, 215-230.(*.zip)
- A.G.Kukush, and Y.V.Chernikov, Goodness-of-fit test in Nevzorov’s model. Theory of Stochastic Process, 2001, 7(23), N1-2, 203-214.
- I.Fazekas, and A.Kukush, Infill asymptotics inside increasing domain for the least squares estimator in linear models. Statistical Inference for Stochastic Processes, 2000, 3, N3, 199-223.(*.zip)
- I.Fazekas, A.G.Kukush, and T.Tomacs. On the Rosenthal inequality for mixing fields. Ukrainian Math. Journ., 2000, 52, N2, 305-318.
- G.G.Kosenko, A.G.Kukush, Recognition of the objects with registration of the main tactical characteristics of radar systems. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 2000, N1, 34-41.
- A.G.Kukush,and Yu.S.Mishura. Asymptotic properties of the estimator of intensity of inhomogeneous Poisson process in a combined model. Theory Prob. Appl., 2000, 44, N2, 273-292.
- A.G.Kukush,and Yu.V.Martsynyuk, A criterion for the consistency of the least squares estimator for a functional linear model with errors in variables.Th. Probability and Mathem. Stat., 1999, N60, 105-112.
- I.Fazekas, S.Baran, A.Kukush, and J.Lauridsen. Asymptotic properties in space and time of an estimator in non-linear functional errors-in-variables models. Random Operators and Stochastic Equations, 7, N4, 1999, 379-402.
- A.Kukush. On maximum likelihood estimator in a statistical model of natural catastrophe claims. Theory of Stochastic Process, 1999, 5(21), N1-2, 64-70.
- A.Kukush, and D.Silvestrov. Optimal stopping strategies for American type option with discrete and continuous time. Theory of Stochastic Process, 1999, 5(21), N1-2, 71-79.
- I.Fazekas, and A.Kukush, Asymptotic properties of estimators in nonlinear functional errors-in-variables with dependent error terms. J. Math. Sci., 1998, 92, N3, 3890-3895.
- G.G.Kosenko, A.G.Kukush,and G.N.Lazarev, Estimation of the error of differential methods for determination of coordinates in sputnik radar system. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1999, N7, 51 — 54.
- A.G.Kukush, and Yu.V.Martsynyuk, Consistency and inconsistency of the weighted least squares estimator in linear functional error-in-variables models. Theory of Stochastic Process, 1998, 4(20), N1-2, 172-179 (English).
- G.G.Kosenko, and A.G.Kukush, Summation procedure for the solutions of object recognition obtained from radar systems. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1998, N5, 12-14.
- G.G.Kosenko, and A.G.Kukush, Upper estimate for the decision moment in subsequent threshold many-alternative decision rule. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1998, N12, 41 — 48.
- B.P.Vainer, and A.G.Kukush, Consistency of M-estimators constructed by concave weight function. Th. Probability and Math.Stat., 1998, N57, 11-18.
- I.Fazekas, and A.Kukush, Asymptotic properties of an estimator in nonlinear functional errors-in-variables models. Computers Math. Appl., 1997, 34, N10, 23-39. (*.zip)
- Fazekas, I., and Kukush, A., Asymptotic properties of estimators in nonlinear functional errors-in-variables models with dependent error terms. Probability Theory and Its Applications, 1997, 42, N2, 430-431.
- A.G.Kukush, Asymptotic normality of the estimator of an infinite-dimensional parameter in the model with a smooth regression function. Mathematical Methods of Statistics, 1996, 5, N3, 343-356.(*.zip)
- A.Ya.Dorgovtsev, and A.G.Kukush, Asymptotic properties of a nonparametric intensity estimator of a nonhomogeneous Poisson process. Cybernetics and Systems Analysis, 1996, 32, N1, 74-85.
- A.G.Kukush, Asymptotic normality of estimators of the signal over observations of its nonlinear integral transformations. Theory of Stochastic Processes, 1996, 2(18), 171-175.
- G.G.Kosenko, V.P.Harchenko, and A.G.Kukush, Threshold choice in many-alternative subsequent rule for given mean risk. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1996, 39, N8, 38 — 42.
- G.G.Kosenko, V.P.Harchenko, and A.G.Kukush, Convergence of many-alternative subsequent threshold rule by correlated observations. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1994, 37, N5, 6 — 10.
- Harchenko V.P., Kosenko G.G., and Kukush A.G., Bayes theory of joint resolving, recognition, detection and estimating of the signals. Radioelectronics and Communications Systems, Allerton Press Inc. (USA), 1994, 37, N3 , 35 — 39.
- A.G. Kukush, Asymptotic normality of a projective estimator for an infinite-dimensional parameter of nonlinear regression. Ukrainian Math. J., 1994, 45, N9, 1348-1359.
- A.G. Kukush, Convergence in distribution of a normalized projective estimate for an infinite-dimensional parameter of linear regression. Th. Probability and Math. Stat., 1994, N48, 69-75.
- A.G.Kukush, On the probability of large deviations of an estimator of a nonlinear regression parameter in Hilbert space. Th. Probability and Math. Stat., 1989, N40, 51-58.
- Kukush A.G., Rate of convergence of a nonlinear regression estimator in an infinite-dimensional space in a model with dependent errors. Th. Probability and Math. Stat., 1989, N38, 83-88.
- Dorogovtsev A.Ya., and Kukush A.G., Asymptotic behavior of the solution of the Cauchy problem for a stochastic equation of parabolic type. Ukrainian Math. Journ., 1988, 40, N2, 136-142.
- Dorogovtsev A.Ya., Zerek N., and Kukush A.G., Weak convergence of an estimator of an infinite-dimensional parameter to a normal distribution. Th. Probability and Math. Stat., 1988, N37, 45-51.
- Dorogovtsev A.Ya., Zerek N., and Kukush A.G., Asymptotic properties of estimators of nonlinear regression in Hilbert space. Th. Probability and Math. Stat., 1987, N35, 25-31.
- Kukush A.G., Stability theorems for sequences n+1=f( n, n+1 ) in Banach and metric spaces. Th. Probability and Math. Stat., 1986, N33, 47-57.
- Dorogovtsev A.Ya., and Kukush A.G., Optimal choice of the regime of observations in a problem of estimating the mean. Th. Probability and Math. Stat., 1985, N30, 39-46.

### a) Peer-Reviewed Articles, Published in Local Journals

- S.V.Masiuk, S.V.Shklyar, and A.G.Kukush, Berkson errors in radiation dose assessments and their impact on the radiation risk estimates. Problems of radiation medicine and radiobiology. Collection of scientific papers, Kyiv, 2013, N18, 119-126.
- S.V.Masiuk, S.V.Shklyar, and A.G.Kukush, Impact of measurement errors in thyroid doses on dose-response analysis. Problems of radiation medicine and radiobiology. Collection of scientific papers, Kyiv, 2011, N16, 25-29 (Ukrainian).
- I.Sivak and A.Kukush, Does always positive power of a stochastic matrix remain a stochastic matrix? In the World of Mathematics, 2012, 18, N1, 10-17 (Ukrainian).
- A.G. Kukush, Price of basket option. Mathematics at Schools of Ukraine, 2012, February, N5 (341), 9-14 (Ukrainian).
- V.P.Kharchenko, A.G.Kukush, and I.V.Ostroumov, Optimal choice of number of observations for multi-alternative classification of air state. Cybernetics and Computational Technics, 2007, N153, 52-59(Russian).
- I.Ostroumov, A.G.Kukush, and V.P.Kharchenko, On probability of correct recognition in case of imprecise densities. Radioelectronics and Communications Systems, 2007, 50, N11, 60-67
- I.Ostroumov, A.G.Kukush, and V.P.Kharchenko, The multiple-choice classification of air traffic situation when a frequency distribution is known roughly. Proceedings of the NAU, 2007, N1 (31), 73-77.
- A.Kukush and M.Poleha, Consistent estimator in multivariate errors-in-variables model under unknown error covariance structure. Ukrainian Mathematical Journal, 2007, 59, 8, 1026-1033.
- V.P.Kharchenko, A.G.Kukush, and V.N.Vasylyev, Determination of allowable time for decision making in Collision avoidance Systems in Free Flight Environment. Proceedings of the NAU, 2004, N1 (19), 29-33. (Ukrainian).
- V.P. Harchenko, A.G.Kukush, and E.A.Znakovskaya, Modeling of aircraft collision using importance sampling technique. Proceedings of the NAU, 2003, N2 (17), 27-30.
- A.G.Kukush, Yu.V.Chernikov, and D.Pfeifer, Maximum likelihood estimators in a statistical model of natural catastrophe claims. Bulletin of the University of Kiev. Series: Physics & Mathematics, 2002, N5, 75-82.
- V.P.Harchenko, A.G.Kukush, E.A.Babak, and S.A.Zakora, Classification of conflict situations among aircrafts and choice of zones of danger. Proceedings of the NAU, 2002, N3 (13), 79-88 (Ukrainian).
- V.P.Harchenko, A.G.Kukush, and E.A.Babak, Hypothesis of quality of sputnik radio-navigation system for observations of different precision and non-Gaussian errors. Proceedings of the NAU, 2002, N2 (13), 85-90 (Ukrainian).
- V.G.Galochkin, and A.G.Kukush, Computation of options characteristics by Monte Carlo method. Banking Technologies: computers + programs, 1998, N1, 60-64 (Russian).
- A.G.Kukush, and B.P.Vainer, On the probability of large deviations of projective estimator of a transition function in nonlinear scheme of observations. Bulletin of Kyiv University, seria: physical and mathematical sciences, 1996, N1, 83-93 (Ukrainian).
- Kukush A.G., and Pantelus V.V., Consistency of robust estimators of infinite-dimensional regression parameter. Bulletin of Kyiv University, 1993, N2, 19-26 (Ukrainian).
- Kukush A., and Mihalevskii A., Testing of hypotheses on structural change point in spline model of observations. Statistical Control Problems (Vilnius), 1990, 89, 228-229 (Russian).
- Kukush A.G., Galochkin V.G., and Galota A.V., Optimal subsequent smoothing of a trajectory in spline model of observations. Operations Investigation and Automatic Systems of Control, 1989, 33, 42-46 (Russian).
- A.G. Kukush, Convergence in distribution of the normalized estimator of infinite-dimensional parameter of regression. Rep.Ukr.Ac.Sci., ser.A, ,1988, N5, 12-15 (Russian.)
- Dorogovtsev A.Ya., Ivasishen S.D., and Kukush A.G., Asymptotic behavior of solutions of heat equation with white noise in the right hand side. Ukrain. Math. Journ., 1985, 37, N1, 13-20 (Russian).
- Grechka G.P., and Kukush A.G., Optimal choice of the regime of observations in a problem of estimating the mean in the presence of nuisance parameter which is linear in time. Computational and Appl. Math., 1984, N54, 95-105 (Russian).
- Kukush A.G., Limit theorems for diffusion equations in Hilbert space. Theor. Probab. and Math. Stat., 1982, N27, 77-87 ( Russian).
- Dorogovtsev A.Ya., Kurchenko A.A., and Kukush A.G., About a new case of existence of linear unbiased estimators. News of Ac.Sc. of Uzbek SSR, 1981, N3, 23-39 (Russian).
- Kukush A.G., Central limit theorem in Hilbert space in terms of Levi-Prohorov metric. Probab.Theory and Math. Stat., 1981, N25, 55-63 (Russian).
- Kukush A.G., On the unique restoration of a measure by its values on balls. Rep.Ukr.Ac.Sci., 1980, ser.A, N3, 15-18 (Russian).
- Kukush A.G., Week convergence of infinitely divisible measures and convergence of semi-invariants. Probab. Theory and Math. Stat., 1980, N23, 74-80 (Russian).
- Kukush A.G., A theorem of monotone sequence in finite-dimensional space. Bulletin of Kiev University, ser. Math.and Mechanics, 1976, N18, 35-40 (Ukrainian).

### b) Methodical Articles, Published in Journals

- V.B.Braiman, A.G.Kukush, and A.V.Prymak, Student Mathematical Olympiad of Kiev National Taras Shevchenko University. In the World of Math., 2004, 10, N3, 55-60 (Ukrainian).
- A.Kukush, Review of the book The Problems on Painting, Mitelman, 2001. In the World of Math. 2004, 10, N1, 97-98 (Ukrainian).
- A.Kukush, Several baby-problems on cooperative mate. In the World of Math. 2004, 10, N1, 65-66 (Ukrainian).
- A.G.Kukush and R.P.Ushakov, We are looking for a formula for generic term! In the World of Math. 2004, 10, N1, 14-30 (Ukrainian).
- A.G.Kukush, and E.S.Usoltseva, On convergence of certain sequences. In the World of Math. 2003, 9, N3, 41-45 (Ukrainian).
- A.G.Kukush, V.M.Leifura, A.Ya.Olenko, and V.A.Jasinskii, 43-rd All-Ukrainian Olympiad of young mathematicians. In the World of Math. 2003, 9, N2, 49-64 (Ukrainian).
- A.G.Kukush, and M.Vaintraub, Playing giveaway chess. In the World of Math. 2003, 9, N2, 76-77 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, About irrational values of trigonometric functions. Mathematics at Schools of Ukraine, 2003, N7, 10-12 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, On iterations of quadratic function. Mathematics at School, 2003, 27, N1, 45-50 (Ukrainian).
- A.G.Kukush, Yu.S.Tatarenko, and R.P.Ushakov, Essay about the family of functions. In the World of Math. 2002, 8, N4, 27-31 (Ukrainian).
- A.G.Kukush, From summer impressions. In the World of Math., 2002, 8, N4, 83-85 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, On certain inequalities of iterative type. In the World of Math. 2002, 8, N3, 24-29 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, Prism and its volume. In the World of Math. 2002, 8, N2, 46-50 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, On recurrent weighting. In the World of Math. 2002, 8, N1, 19-30 (Ukrainian).
- A.G.Kukush, Obstruction in chess problems. In the World of Math., 2001, 7, N3, 78-79 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, An interesting problem about the values of polynomials. In the World of Math. 2001, 7, N1, p.12 (Ukrainian).
- A.G.Kukush, About the book «Collection of Trigonometric Inequalities» by R.P.Ushakov. In the World of Math. 2000, 6, N4, p.99 (Ukrainian).
- A.G.Kukush, V.M.Radchenko, and I.A.Shevchuk, Student mathematical Olympiad of Kiev University. In the World of Math. 2000, 6, N2, 15-18 (Ukrainian).
- A.G.Kukush, Touched-move! In the World of Math. 2000, 6, N1, 83-85 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, A method of proving of the inequalities.-Newspaper Mathematics, 2000, N41, 2-5 (Ukrainian).
- A.G.Kukush, and R.P.Ushakov, How to find the main period of a function? In the World of Math. 1999, 5, N 4, 20-36 (Ukrainian).
- A.G. Kukush, Black fights for the right to start. In the World of Math. 1999, 5, N3, 83-86 (Ukrainian).
- A.G.Kukush, V.V.Nekrashevich, A.M.Stanzhitskii, and I.A.Shevchuk, Olympiad of mechanical and mathematical faculty. In the World of Math. 1999, 5, N1, 72-73 (Ukrainian).
- I.Burban, and A.G.Kukush, Fields of correspondence. In the World of Math. 1997, 3, N2, 92-94 (Ukrainian).
- I.Burban, and A.G.Kukush, Fields of correspondence. In the World of Math. 1997, 2, N4, 97-99 (Ukrainian).
- Kukush A., Mysteries of environment, or secrets of familiar objects by A.I.Shapiro. (A review). In the World of Math. 1996, 2, N4, 110-111 (Ukrainian).
- Kukush A.G., Several solutions of the geometrical problem. In the World of Math. 1989, 19, 166-171.

- A.Kukush and I.Fazekas, Kriging and prediction of nonlinear functionals. In the book: Computer Data Analysis and Modeling: Robustness and Computer Intensive Methods. Ed. S.Aivazian, P.Filzmoser, and Yu.Kharin. Proceedings of the 7th International Conference, September 2004. Minsk: Academy of Administration at the President of The Republic of Belarus, 2004. V.1, pp. 38-44.
- Repetatska, G.S., and Kukush, A.G., Inconsistency of the orthogonal regression estimator in non-linear multivariate errors-in-variables model. In the book: Computer Data Analysis and Modeling: Robustness and Computer Intensive Methods. Ed. S.Aivazian, P.Filzmoser, and Yu.Kharin. Proceedings of the 7th International Conference, September 2004. Minsk: Academy of Administration at the President of The Republic of Belarus, 2004. V.1, pp. 187-188.
- A.Kukush, I.Markovsky, and S.Van Huffel, Consistent estimation of an ellipsoid with known center. In the book: Proceedings in Computational Statistics. 16th Symposium, Prague, 2004. Ed. J.Antoch. Physica-Verlag, pp. 1369-1376.
- A.Kukush, I.Markovsky and S.Van Huffel. Element-wise weighted and structured total least squares problems. In the book: International Conference on Cybernetics and Information Technologies, Systems and Applications, July, 2004. Orlando, Florida, USA. Ed. by H.-W.Chu, J.Aguilar, and J.Ferrer. V.2, pp. 102-103.
- I.Fazekas and A.G.Kukush. A central limit theorem for mixing random fields and its statistical applications. In the book: Limit Theorems in Probability and Statistics 2 (I.Berkes, E.Csaki, M.Csorgo, eds.). Proceedings of the conference in Balatonlelle, June-July, 1999. Budapest, 2002, pp. 59-75.
- A.Kukush, and V.Galochkin. The prediction of the derivative portfolio price. In the book: Risks in Investment Accumulation Products of Financial Institutions. Proceedings of the Symposium in New-York in 1999. The Actuarial Foundation, New-York, 2002, Chapter 4.
- A.G.Kukush, and Yu.V.Chernikov, Efficiency of maximum likelihood estimators in Nevzorov’s record model.- Proceedings of the Ukrainian Mathematical Congress-2001, Kyiv, August, 2001. Probability Theory and Mathematical Statistics. Section 9. Kyiv, 2002, 85-93.
- A.Kukush, and S.Zwanzig, On consistent estimators in nonlinear functional errors-in-variables models. In the book: Total Least Squares and Errors-in-Variables Modeling: Analysis, Algorithms and Applications, S. Van Huffel and P. Lemmerling, eds., Kluwer Academic Publishers, Dordrecht, the Netherlands, 2002, 145-154. (186 Kb) (*.zip, 158 Kb)
- V.Babak, V.Kharchenko, and A.Kukush, Classification of conflict situations between aircrafts by automatic dependent surveillance information.- Proceedings of the International Conference Sensors & Systems. Volume 3, Saint-Petersburg, 2002, 107-109.
- A.Kukush, I.Markovsky, and S.Van Huffel, On consistent estimators in linear and bilinear multivariate errors-in-variables models. In the book: Total Least Squares and Errors-in-Variables Modeling: Analysis, Algorithms and Applications, S. Van Huffel and P. Lemmerling, eds., Kluwer Academic Publishers, Dordrecht, the Netherlands, 2002, 155-164.
- Fazekas I., and Kukush A., Errors-in-variables and kriging.- Proceedings of the 4th International Conference on Applied Informatics. Eger-Noszvaj (Hungary), 30 August- 3 September, 1999. Eds. E. Kovacs, Z. Winkler, Eger 2001, 261-273.
- I.Fazekas, and A.Kukush, Asymptotic properties of estimators in non-linear functional errors-in-variables models with dependent error terms. Proceedings of the 18-th Seminar on Stability of Stochastic Models. Part 1 (Hajduszoboszlo, 1997). J.Math.Sci., 1998, 92, N3, 3890-3895.
- Kukush A.G., Convergence of successive rule of decision making over correlated observations.- Proc. 2nd Ukrainian-Hungarian Conference. Eds. M.Arato and M.I.Yadrenko, 1993, VSP/ TBiMC , 374-390.
- Dorogovtsev A.Ya., Ivasishen S.D., and Kukush A.G., On the asymptotic behavior of the linear stochastic heat equation solution.-Proc. of Fourth Vilnius Conference on Prob.Th. and Math.Stat., vol.1.- VNU Science Press B.V. 1987, 419-432.
- Dorogovtsev A.Ya., and Kukush A.G., On the limiting distribution of extreme points for certain stochastic optimization models.-Proc. of Conf. on Stochastic Optimization (Kyiv, 1984), Lect. Notes in Control and Inf. Sci., 81. Springer, 1986, 17-21.

- *H.Jonsson, A.G.Kukush, and D.S.Silvestrov, Threshold structure of optimal stopping strategies for American type option. Malardalen University, Sweden. Research Report N20, 2004-2. Submitted to Th. Probability and Mathematical Statistics.
- *A.Kukush, and H.Schneeweiss, Relative efficiency of maximum likelihood and other estimators in a nonlinear regression model with small measurement errors. Discussion Paper 396, SFB 386. Ludwig-Maximilians-University of Munich, 2004.
- *A.Kukush, I.Markovsky, and S.Van Huffel, Consistency of the structured total least squares estimator in a multivariate errors-in-variables model, Tech. Rep. 02-192, SCD division, Dept. EE, K.U.Leuven, 2002. Accepted in Journal of Statistical Planning and Inference.
- *A.Kukush, and S.Shklyar, Comparison of three estimators in Poisson errors-in-variables model with one covariate. Discussion Paper 293, SFB 386. Ludwig-Maximilians-University of Munich, 2002.
- *A. Kukush, H.Schneeweiss, and R.Wolf, Comparing different estimators in a non-linear measurement error model. Discussion Paper 244, SFB 386. Ludwig-Maximilians-University of Munich, 2002. Submitted to Mathematical Methods of Statistics.
- *A.Kukush, I.Markovsky, and S.Van Huffel, About the convergence of the computational algorithm for the EW-TLS estimator, Tech. Rep. 02-49, SCD division, Dept. EE, K.U.Leuven, 2002.
- *I.Markovsky, M.-L.Rastello, A.Premoli, A.Kukush, and S.Van Huffel, The element-wise weighted total least squares problem, Tech. Rep. 02-48, SCD division, Dept. EE, K.U.Leuven, 2002. Accepted in Computational Statistics and Data Analysis.
- *A.Kukush, H.Schneeweiss, and R.Wolf, Comparison of three estimators in a polynomial regression with measurement errors. Discussion Paper 233, SFB 386. Ludwig-Maximilians-University of Munich, 2001. Accepted in Journal of Statistical Planning and Inference.
- *A.Kukush, and H.Schneeweiss, A comparison of asymptotic covariance matrices of adjusted least squares and structural least squares in error ridden polynomial regression. Discussion Paper 218, SFB 386. Ludwig-Maximilians-University of Munich, 2000.
- *Baran S., Fazekas I., and Kukush A., Applications of the deconvolution method for estimation in errors- in-variables models. Technical Report 10/2000. Institute of Mathematics and Informatics. University of Debrecen.
- *I.Fazekas, A.Kukush, and S.Zwanzig, On inconsistency of the least squares estimator in nonlinear functional relations. Research Report N1, 1998. Odense Univ., Denmark, Department of Stat. and Demography.
- * A.Kukush, and S.Zwanzig, On a corrected contrast estimator in the implicit nonlinear functional relation model. Preprint N97-11, 1997. Institut fur Mathematische Stochastik, Universitat Hamburg. (232 Kb) (*.zip, 200Kb)
- * A.Kukush, and S.Zwanzig, Consistency and inconsistency of the weighted least squares estimator in linear functional relations with dependent error terms. Preprint N97-3, 1997. Institut fur Mathematische Stochastik, Universitat Hamburg.
- * A.Kukush, and S.Zwanzig, On inconsistency of the least squares estimator in nonlinear functional error-in-variables models. Preprint N96-12, 1996. Institut fur Mathematische Stochastik, Universitat Hamburg.

- A.G.Kukush. Asymptotic properties of estimators of infinite dimensional parameters of random processes. Thesis of Doctor of physical and mathematical sciences. Kyiv, 1995.
- A.G.Kukush. Some problems of weak convergence of measures in infinite dimensional spaces. Ph.D. thesis. Kyiv, 1982.

- V.A. Borisova, A.G.Kukush, V.N.Leifura, I.M.Mitelman, A.Ya.Olenko, and V.A.Yasinskii, Competitions of Young Mathematicians of Ukraine. Year 2003. — Kharkiv, Osnova, 2004. P.120 (Ukrainian).
- Nikulin O.V., and Kukush O.G. Geometry 7-9. Profound course.- Kyiv, Perun, 1999. P.270. Recommended by the Ukrainian Ministry of Education. (In Ukrainian language. It is used as a textbook in several specialized schools in Ukraine).
- Nikulin A.V., Kukush A.G., and Tatarenko Yu.S. Planimetry. Geometry on plane.-Minsk, Publishing House «Alfa», 1998. P.593. (Russian. It is used as a textbook in several specialized schools in Ukraine).
- Nikulin A.V., Kukush A.G., and Tatarenko Yu.S. Plane geometry (planimetry).-Minsk, Publishing House «Alfa», 1996. P.592. (Russian).

- Kukush A., and Silvestrov D., Structure of optimal stopping strategies for American type options.- In the book: Probabilistic Constrained Optimisation: Methodology and Applications. Ed. S. Uryasev, Kluwer, 2000, 173-185.
- Kukush A.G., Asymptotic normality of the estimator of infinite-dimensional parameter in the model with C1-smooth regression function.- In the book: Exploring the stochastic laws. Eds. A.V.Skorohod and Yu.V.Borovskih. Festschrift in Honour of the 70-th Birthday of Acad. V.S.Koroluk.- The Netherlands, VSP, 1995, 251-256.
- Kukush A.G., Asymptotic properties of the estimator of infinite-dimensional parameter of non-linear regression.-In the book: Mathematics today. Kyiv, Vishcha Shkola, 1989, 84-105 (Russian).
- Kukush A.G., Restoration of a measure by its values on balls.-In the book: Mathematics today. Kyiv, Vishcha Shkola, 1983, 112-114 (Russian).
- Kukush A.G., Week convergence of measures and convergence of the moments.- In the book: Probability distributions in infinite-dimensional spaces. Kyiv, 1978, 109-124 (Russian).
- Kukush A.G., Estimating of the rate of convergence of linear positive operators in the case of functions of several variables.-In the book: Mathematical analyses and Probability Theory, 1978, 95-100 (Russian).

- Kukush A.G., Cubic one-dimensional splines in statistics. Methodical recommendations. — Kyiv University, 1991. P.60 (Russian; a special course was based on this brochure).
- Kukush A.G., Monotone sequences and functions. (Library of physical and mathematical school). — Kyiv, Vischa Shkola, 1989. P.104 (Russian).

- Dorogovtsev A.Ya., Kukush A.G., Denis’evskii N.A., and Chaikovskii A.V., Tasks for the practical works on the course of mathematical analysis for the students of mechanical and mathematical faculty, 1st term of the 2nd grade, part 2. Kyiv, Kyiv University, 2004.-47 P. (Ukrainian).
- Dorogovtsev A.Ya., Ivasishen S.D., Konstantinov A.Yu., Kukush A.G., Kurchenko A. A., Nesterenko A.N., Petrova T.A., and Chaikovskii A.V., Tasks for the practical works on measure and integration theory for the students of specialities «Mathematics» and «Statistics» of mechanical and mathematical faculty. Kyiv, Kyiv University, 2003.-89 P. (Ukrainian).
- Dorogovtsev A.Ya., Denis’evskii N.A., and Kukush A.G., Tasks for the practical works on the course of mathematical analysis for the students of mechanical and mathematical faculty, 1st term of the 2nd grade. Kyiv, Kyiv University, 2000.-78 P. (Ukrainian).
- Konstantinov A.Yu., and Kukush A.G., Mathematical Olympiad in Kyiv University, 1990.- In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1993, 195-209 (Russian).
- Dorogovtsev A.Ya., Slobodenyuk N.P., and Kukush A.G., Tasks for the laboratory works N1-16 on the course of math. analysis for the students of mathematical speciality, 4th term.-Kyiv, Kyiv University, 1987.-76 P. (Russian).
- Dorogovtsev A.Ya., Slobodenyuk N.P., and Kukush A.G., Tasks for the laboratory works N17-30 on the course of math. analysis for the students of mathematical specialty, 4th term.-Kyiv, Kyiv University, 1987.-80 P. (Russian).
- Dorogovtsev A.Ya., and Kukush A.G., Tasks for the laboratory works on the course of mathematical analysis for the students of mathematical specialization, 3rd term._Kyiv, Kyiv University, 1986.-100 P. (Russian).
- Kukush A.G., Problems of the mathematical Olympiad ‘A Student and Scientific Progress’. — In the book: Mathematics today, Kyiv, Vishcha Shkola, 1986, 160-194.
- Dorogovtsev A.Ya., and Kukush A.G., Selected problems of University round of the mathematical Olympiad ‘A Student and Scientific Progress’.- In the book: Mathematics today, Kyiv, Vishcha Shkola, 1983, 125-165.

- A.Kukush, Problems 7 and 11. Tasks for preliminary round of 7th All-Ukrainian tournament of young mathematicians.
- A.Kukush, and R.Ushakov, Problem 1. 6th Open Physical & Mathematical Olympiad of Richelieu lyceum, final stage of mathematical competition. Odessa, 2004. Mathematics at Schools of Ukraine, 2004, N35 (83), 16-18.
- A.Kukush, Problem 3. 6th Open Physical & Mathematical Olympiad of Richelieu lyceum, 2nd stage of mathematical competition. Odessa, 2004. Mathematics at Schools of Ukraine, 2004, N35 (83), 13-16.
- A.Kukush, and M.Rozhkova, Problem 226. In the World of Math., 2004, N2, p.91.
- A.Kukush, and R.Ushakov, Problem 229. In the World of Math., 2004, N2, p.91.
- A.Kukush, Problems 8.2, 9.2, 9.3, 10.5, and 10.6. All-Ukrainian Olympiad of young mathematicians, 2004. In the World of Math., 2004, 10, N3, 68-69.
- A.Kukush, Problems 2, 4, and 6. Open students Olympiad of machanical and mathematical faculty of Kyiv National University, 2004. In the World of Math., 2004, 10, N3, 56-57.
- A.Kukush. Problems 10.1 and 10.4. In the book: V.A. Borisova, A.G.Kukush, V.N.Leifura, I.M.Mitelman, A.Ya.Olenko, V.N.Radchenko, and V.A.Yasinskii, Competitions of Young Mathematicians of Ukraine. Year 2003. — Kharkiv, Osnova, 2004, p. 21 (Ukrainian).
- A.Kukush. In the book: V.M.Leifura, I.M.Mitel’man, V.M.Radchenko, and V.A.Jasinski, Mathematical Olympiads of schoolchildren of Ukraine. Kyiv, Technika, 2003. Final stage of All-Ukrainian Olympiads: problems 3.33.18 and 3.33.21 on p.41, 3.35.11 and 3.35.12 on p.47, 3.38.18 on p.61, and 3.39.29 on p.67. Soros Olympiads: 1-st stage — problems C.2.19 on p.80, C.3.24 on p.87, and C.7.28 on p.122; final stage — problems C.1.31 on p.75, C.4.58 on p.100, and C.6.63 on p.118.
- A.Kukush, and R.Ushakov, Problem 219. In the World of Math., 2003, N4, p.86.
- A.Kukush, Problems 1, 5, 6, 10, 12. Open students Olympiad of Mechanical and Mathematical Faculty of Kiev National Taras Srevchenko University, 2003.
- A.Kukush, and R.Ushakov, Problem 192 In the World of Math., 2002, 8, N4, p.92.
- A.Kukush, and R.Ushakov, Problem 147. Mathematics at School, 2002, N5.
- A.Kukush, Problems 2, 3, 12. In the World of Math., 2001, 7, N3, pp.74-75.
- A.Kukush, Problem. In the World of Math., 2001, 7, N3, p.57.
- A.Kukush, Problem 140. In the World of Math., 2000, 6, N3, p.98.
- A.Kukush, Problems 2, 7, 13. In the World of Math., 2000, 6, N2, p.65-66.
- A.Kukush, Problem 134. In the World of Math., 2000, 6, N2, p.92.
- A.Kukush, Problem 11.6. In the World of Math., 2000, 6, N1, p.75.
- A.Kukush, and V.Nekrashevich, Problem 120. In the World of Math., 1999, 5, N4, p.88.
- A.Kukush, Problem 11.7. In the World of Math., 1999, 5, N2, p.79.
- A.Kukush, Problem 10.4. In the World of Math., 1998, 4, N3, p.62.
- A.Kukush, Problem 66. In the World of Math., 1997, 3, N4, p.93.
- A.Kukush, Problem 59. In the World of Math., 1997, 3, N3, p.107.
- A.Kukush, Problem 55. In the World of Math., 1997, 3, N2, p.108.
- A.Kukush, Problem 10.4. In the World of Math., 1997, 3, N1, p.58.
- A.Kukush, Problems 10.9, and 24, and 25. In the World of Math., 1996, 2, N2, pp.68 and 101.
- A.Kukush, Problems 9.5, 9.6, and 11.6, and M-10-4. In the World of Math., 1996, 2, N1, pp.51, and 53, and 68-69.
- A.Kukush, Problem 9.1. In the World of Math., 1995, 1, N1, p.86.
- A.Kukush, Problems 30-34. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1994, p. 157.
- A.Kukush, Problems 5, 11, 13, and 18. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1993, p.p. 198, 204, 205, and 207.
- A.Kukush, Problems 18, 19. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1993, p. 213.
- A.Kukush, Problems 641, 645. — In the book: Ukrainian Mathematical Olympiads, Kyiv, Vishcha Shkola, 1993, p.p. 79-80.
- A.Kukush, Problems 1 — In the book: In the World of Mathematics, Kyiv, Vishcha Shkola, 1991, p. 214.
- A.Kukush, Problem 4. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1990, p. 156.
- A.Kukush, and V.S.Grinberg, Problems 9, 10. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1988, p. 164.
- A.Kukush, Problem 11. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1986, p. 196.
- A.Kukush, Problem 2. — In the book: Mathematics Today, Kyiv, Vishcha Shkola, 1983, p. 166.
- A.Kukush, Problem 4, p.245, and Problem 1, p.246. — In the book: In the World of Mathematics, Kyiv, Vishcha Shkola, 1982.

- A.Kukush, Problems 8965 and 8966, feenschach, 2003, heft 152, band 28, p.147.
- A.Kukush, Two problems. In the World of Math. 2004, 10, N1, 65-66.
- A.Kukush, and M.Vaintraub, Position 2. In the World of Math., 2003, 9, N2, p.77.
- A.Kukush, Position 3. In the World of Math., 2002, 8, N2, p.86.
- A.Kukush, Position 3. In the World of Math., 2000, 6, N2, p.75.
- A.Kukush, Problem 8068. Feenschach, 2000, band 26, heft 135, p. 242.
- A.Kukush, Problem 8252. Feenschach, 2000, band 26, heft 138, p. 420.
- A.Kukush, four problems. In the World of Math., 1999, 5, N3, 84-86.