Browse by All Cardiff Authors

Wynn, Henry P. and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2025. An exterior algebra approach to generalised variances and cross-covariances. Soft Computing 29 (8) , pp. 4247-4257. 10.1007/s00500-025-10600-4

Detter, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2024. Prediction in regression models with continuous observations. Statistical Papers 65 , pp. 1985-2009. 10.1007/s00362-023-01465-6

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2024. Improving exploration strategies in large dimensions and rate of convergence of global random search algorithms. Journal of Global Optimization 88 , pp. 1-26. 10.1007/s10898-023-01308-6

Pronzato, Luc and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2023. Quasi-uniform designs with optimal and near-optimal uniformity constant. Journal of Approximation Theory 294 , 105931. 10.1016/j.jat.2023.105931

Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X, O'Riordan, Emily and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2023. Polynomial whitening for high-dimensional data. Computational Statistics 38 , pp. 1427-1461. 10.1007/s00180-022-01277-6

Pronzato, Luc and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2023. BLUE against OLSE in the location model: energy minimization and asymptotic considerations. Statistical Papers 64 , pp. 1187-1208. 10.1007/s00362-023-01423-2

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Random and quasi-random designs in group testing. Journal of Statistical Planning and Inference 221 , pp. 29-54. 10.1016/j.jspi.2022.02.006

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Convergence of global random search algorithms. Pardalos, Panos and Prokopyev, Oleg, eds. Encylopedia of Optimization, Springer Nature, online. (10.1007/978-3-030-54621-2_769-1)

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Noonan, Jack 2022. Covering of high-dimensional sets. Pardalos, Panos and Prokopyev, Oleg, eds. Encyclopedia of Optimization, Springer Nature, online. (10.1007/978-3-030-54621-2_770-1)

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Random search for global optimization. Pardalos, Panos and Prokopyev, Oleg, eds. Encyclopedia of Optimization, Springer Nature, online. (10.1007/978-3-030-54621-2_768-1)

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Efficient quantisation and weak covering of high dimensional cubes. Discrete and Computational Geometry 68 , pp. 540-565. 10.1007/s00454-022-00396-7

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Non-lattice covering and quantization of high dimensional sets. Pardalos, Panos M., Rasskazova, Varvara and Vrahatis, Michael N., eds. Black Box Optimization, Machine Learning, and No-Free Lunch Theorems, Vol. 170. Springer Optimization and Its Applications, New York: Springer, pp. 273-318. (10.1007/978-3-030-66515-9_10)

Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X, O'Riordan, Emily and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2022. Simplicial and minimal-variance distances in multivariate data analysis. Journal of Statistical Theory and Practice 16 , 9. 10.1007/s42519-021-00227-7

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Noonan, Jack 2021. First passage times for Slepian process with linear and piecewise linear barriers. Extremes 24 , pp. 565-589. 10.1007/s10687-021-00406-6

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2021. Approximations for the boundary crossing probabilities of moving sums of random variables. Methodology and Computing in Applied Probability 23 , pp. 873-892. 10.1007/s11009-019-09769-7

Zilinskas, Antanas, Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X, Scammell, Megan and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2021. Multistart with early termination of descents. Journal of Global Optimization 79 , pp. 447-462. 10.1007/s10898-019-00814-w

Pronzato, Luc and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2021. Minimum-energy measures for singular kernels. Journal of Computational and Applied Mathematics 382 , 113089. 10.1016/j.cam.2020.113089

Dette, Holger and Zhigljavsky, Anatoly A. ORCID: https://orcid.org/0000-0003-0630-8279 2021. Reproducing kernel Hilbert spaces, polynomials, and the classical moment problem. SIAM/ASA Journal on Uncertainty Quantification 9 (4) , pp. 1589-1614. 10.1137/21M1394965

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2021. Approximations for the boundary crossing probabilities of moving sums of normal random variables. Communications in Statistics - Simulation and Computation 50 (11) , pp. 3547-3568. 10.1080/03610918.2019.1626889

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2020. Discrete uniform and binomial distributions with infinite support. Soft Computing 24 , pp. 17517-17524. 10.1007/s00500-020-05190-2

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2020. Power of the MOSUM test for online detection of a transient change in mean. Sequential Analysis 39 (2) , pp. 269-293. 10.1080/07474946.2020.1767406

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Noonan, Jack 2020. Covering of high-dimensional cubes and quantization. SN Operations Research Forum 1 (3) , 18. 10.1007/s43069-020-0015-8

Pronzato, Luc and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2020. Bayesian quadrature, energy minimization, and space-filling design. SIAM/ASA Journal on Uncertainty Quantification 8 (3) , pp. 959-1011. 10.1137/18M1210332

Golyandina, Nina and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2020. Blind deconvolution of covariance matrix inverses for autoregressive processes. Linear Algebra and its Applications 593 , pp. 188-211. 10.1016/j.laa.2020.02.005

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2019. Approximating Shepp's constants for the Slepian process. Statistics and Probability Letters 153 , pp. 21-31. 10.1016/j.spl.2019.05.001

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2019. The BLUE in continuous-time regression models with correlated errors. Annals of Statistics 47 (4) , pp. 1928-1959. 10.1214/18-AOS1734

Pronzato, Luc and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2019. Measures minimizing regularized dispersion. Journal of Scientific Computing 78 (3) , pp. 1550-1570. 10.1007/s10915-018-0817-4

Phillips, T. R. L., Schmidt, K. M. ORCID: https://orcid.org/0000-0002-0227-3024 and Zhigljavsky, A. ORCID: https://orcid.org/0000-0003-0630-8279 2019. Extension of the Schoenberg theorem to integrally conditionally positive definite functions. Journal of Mathematical Analysis and Applications 470 (1) , pp. 659-678. 10.1016/j.jmaa.2018.10.032

Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2018. Optimal directional statistic for general regression. Statistics and Probability Letters 143 , p. 74. 10.1016/j.spl.2018.07.025

Noonan, Jack and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2018. Approximations of the boundary crossing probabilities for the maximum of moving weighted sums. Statistical Papers 59 (4) , pp. 1325-1337. 10.1007/s00362-018-1015-z

Pronzato, Luc, Wynn, Henry P. and Zhigljavsky, Anatoly A. ORCID: https://orcid.org/0000-0003-0630-8279 2018. Simplicial variances, potentials and Mahalanobis distances. Journal of Multivariate Analysis 168 , pp. 276-289. 10.1016/j.jmva.2018.08.002

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559, Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Zilinskas, Amtanas 2018. Performance of global random search algorithms for large dimensions. Journal of Global Optimization 71 , pp. 57-71. 10.1007/s10898-017-0535-8

Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2018. Optimal estimation of direction in regression models with large number of parameters. Applied Mathematics and Computation 318 , pp. 281-289. 10.1016/j.amc.2017.05.050

Pronzato, Luc, Wynn, Henry P. and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2017. Extended generalised variances, with applications. Bernoulli 23 (4A) , pp. 2617-2642. 10.3150/16-BEJ821

Dette, Holger, Konstantinou, Maria and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2017. A new approach to optimal designs for correlated observations. Annals of Statistics 45 (4) , pp. 1579-1608. 10.1214/16-AOS1500

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559, Kornikov, Vladimir and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2017. Statistical estimation in global random search algorithms in case of large dimensions. Lecture Notes in Computer Science 10556 , pp. 364-369. 10.1007/978-3-319-69404-7_32

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2017. SSA analysis and forecasting of records for Earth temperature and ice extents. Statistics and Its Interface 10 (1) , pp. 151-163. 10.4310/SII.2017.v10.n1.a14

Pronzato, Luc, Wynn, Henry P. and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Extremal measures maximizing functionals based on simplicial volumes. Statistical Papers 57 , pp. 1059-1075. 10.1007/s00362-016-0767-6

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559, Staroselskiy, Yuri, Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Guchenko, Roman 2016. Adaptive targeting in online advertisement: models based on relative influence of factors. Presented at: International Workshop on Machine Learning, Optimization and Big Data, Volterra, Italy, 26-29 August 2016. Published in: Pardalos, P., Conca, P., Giuffrida, G. and Nicosia, G. eds. Machine Learning, Optimization, and Big Data. MOD 2016. Lecture Notes in Computer Science , vol.10122 Springer, pp. 159-169. 10.1007/978-3-319-51469-7_13

Davies, Gareth, Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Comparative study of different penalty functions and algorithms in survey calibration. Comparative Study of Different Penalty Functions and Algorithms in Survey Calibration, Vol. 107. pp. 87-127. (10.1007/978-3-319-29975-4_6)

Gillard, J. W. ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, A. A. ORCID: https://orcid.org/0000-0003-0630-8279 2016. Weighted norms in subspace-based methods for time series analysis. Numerical Linear Algebra with Applications 23 (5) , pp. 947-967. 10.1002/nla.2062

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Optimal designs for regression models with autoregressive errors. Statistics and Probability Letters 116 , pp. 107-115. 10.1016/j.spl.2016.04.008

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559, Staroselskiy, Yuri and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2016. Adaptive designs for optimizing online advertisement campaigns. Presented at: 11th International Workshop in Model-Oriented Design and Analysis, Hamminkeln, Germany, 12-17 June 2016. Published in: Kunert, Joachim, Muller, Christine H. and Atkinson, Anthony C. eds. mODa 11 - Advances in Model-Oriented Design and Analysis: Proceedings of the 11th International Workshop in Model-Oriented Design and Analysis held in Hamminkeln, Germany, June 12-17, 2016. mODa 11 - Advances in Model-Oriented Design and Analysis, Proceedings of the 11th International Workshop in Model-Oriented Design and Analysis held in Hamminkeln, Germany, June 12-17, 2016. Contributions to Statistics Springer Verlag, pp. 199-208. 10.1007/978-3-319-31266-8_23

Z̆ilinskas, Antanas and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2016. Branch and probability bound methods in multi-objective optimization. Optimization Letters 10 (2) , pp. 341-353. 10.1007/s11590-014-0777-z

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Optimal designs in regression with correlated errors. Annals of Statistics 44 (1) , pp. 113-152. 10.1214/15-AOS1361

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559, Staroselskiy, Yuri and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Adaptive targeting for online advertisement. Presented at: International Workshop on Machine Learning, Optimization and Big Data, Taormina, Italy, 21-23 July 2015. Published in: Pardalos, Panos, Pavone, Mario, Farinella, Giovanni Maria and Cutello, Vincenzo eds. Machine Learning, Optimization, and Big Data: First International Workshop, MOD 2015, Taormina, Sicily, Italy, July 21-23, 2015, Revised Selected Papers. Lecture Notes in Computer Science. Lecture Notes in Computer Science , vol.9432 Springer Verlag, pp. 240-251. 10.1007/978-3-319-27926-8_21

Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2016. Global optimization for structured low rank approximation. Presented at: International Conference of Numerical Analysis and Applied Mathematics 2015, Rhodes, Greece, 22-28 September 2015. AIP Conference Proceedings. , vol.1738 American Institute of Physics, p. 400003. 10.1063/1.4952191

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2015. Design for linear regression models with correlated errors. Dean, Angela, Morris, Max, Stufken, John and Bingham, Derek, eds. Handbook of Design and Analysis of Experiments, Chapman & Hall/CRC Handbooks of Modern Statistical Methods, CRC Press, pp. 236-276.

Gillard, J. W. ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, A. A. ORCID: https://orcid.org/0000-0003-0630-8279 2015. Stochastic algorithms for solving structured low-rank approximation problems. Communications in Nonlinear Science and Numerical Simulation 21 (1-3) , pp. 70-88. 10.1016/j.cnsns.2014.08.023

Davies, Gareth P., Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2015. Calibration in survey sampling as an optimization problem. Migdalas, Athanasios and Karakitsiou, Athanasia, eds. Optimization, Control, and Applications in the Information Age, Vol. 130. Springer Proceedings in Mathematics & Statistics, vol. 130. Springer, pp. 67-89. (10.1007/978-3-319-18567-5_4)

Pronzato, Luc and Zhigljavsky, Anatoly A. ORCID: https://orcid.org/0000-0003-0630-8279 2014. Algorithmic construction of optimal designs on compact sets for concave and differentiable criteria. Journal of Statistical Planning and Inference 154 , pp. 141-155. 10.1016/j.jspi.2014.04.005

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 2014. ‘Nearly’ universally optimal designs for models with correlated observations. Computational Statistics & Data Analysis 71 , pp. 1103-1112. 10.1016/j.csda.2013.02.002

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2013. An extremal property of the generalized arcsine distribution. Metrika 76 (3) , pp. 347-355. 10.1007/s00184-012-0391-y

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2013. Optimal design for linear models with correlated observations. Annals of Statistics 41 (1) , pp. 143-176. 10.1214/12-AOS1079

Hassani, Hossein, Heravi, Saeed ORCID: https://orcid.org/0000-0002-0198-764X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2013. Forecasting UK industrial production with multivariate singular spectrum analysis. Journal of Forecasting 32 (5) , pp. 395-408. 10.1002/for.2244

Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279, Pronzato, Luc and Bukina, Elena 2013. An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost. Optimization Letters 7 (6) , pp. 1047-1059. 10.1007/s11590-012-0491-7

Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2013. Optimization challlenges in the structured low rank approximation problem. Journal of Global Optimization 57 (3) , pp. 733-751. 10.1007/s10898-012-9962-8

Pronzato, L., Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 and Bukina, A. 2012. Estimation of spectral bounds in gradient algorithms. Acta Applicandae Mathematicae 127 (1) , pp. 117-136. 10.1007/s10440-012-9794-z

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2011. Statistical Modelling in Market Research. Lovric, M., ed. International Encyclopedia of Statistical Science, Springer Reference, Berlin: Springer, pp. 1450-1452. (10.1007/978-3-642-04898-2_548)

Hassani, Hossein, Xu, Zhengyuan and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2011. Singular spectrum analysis based on the perturbation theory. Nonlinear Analysis: Real World Applications 12 (5) , pp. 2752-2766. 10.1016/j.nonrwa.2011.03.020

Pronzato, Luc and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2011. Gradient algorithms for quadratic optimization with fast convergence rates. Computational Optimization and Applications 50 (3) , pp. 597-617. 10.1007/s10589-010-9319-5

Patterson, Kerry, Hassani, Hossein, Heravi, Saeed ORCID: https://orcid.org/0000-0002-0198-764X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2011. Multivariate singular spectrum analysis for forecasting revisions to real-time data. Journal of Applied Statistics 38 (10) , pp. 2183-2211. 10.1080/02664763.2010.545371

Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2011. Analysis of structured low rank approximation as an optimization problem. Informatica 22 (4) , pp. 489-505.

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279, Dette, Holger and Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 2010. A new approach to optimal design for linear models with correlated observations. Journal of the American Statistical Association 105 (491) , pp. 1093-1103. 10.1198/jasa.2010.tm09467

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2010. Nonadaptive group testing with lies: Probabilistic existence theorems. Journal of Statistical Planning and Inference 140 (10) , pp. 2825-2893. 10.1016/j.jspi.2010.03.012

Hassani, Hossein, Soofi, Abdol and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2010. Predicting daily exchange rate with singular spectrum analysis. Nonlinear Analysis: Real World Applications 11 (3) , pp. 2023-2034. 10.1016/j.nonrwa.2009.05.008

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 and Hamilton, Emily 2010. Stopping rules in k-adaptive global random search algorithms. Journal of Global Optimization 48 (1) , pp. 87-97. 10.1007/s10898-010-9528-6

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2010. Singular Spectrum Analysis for time series: Introduction to this special issue. Statistics and Its Interface 3 (3) , pp. 255-258.

Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2010. Assessing the stability of long-horizon SSA forecasting. Statistics and Its Interface 3 (3) , pp. 321-327.

Dette, Holger, Leonenko, Nikolai N. ORCID: https://orcid.org/0000-0003-1932-4091, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2009. Asymptotic optimal designs under long-range dependence error structure. Bernoulli 15 (4) , pp. 1036-1056. 10.3150/09-BEJ185

Hassani, Hossein and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2009. Singular spectrum analysis: methodology and application to economics data. Journal of Systems Science and Complexity 22 (3) , pp. 372-394. 10.1007/s11424-009-9171-9

Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2009. A characterization of the arcsine distribution. Statistics & Probability Letters 79 (24) , pp. 2451-2455. 10.1016/j.spl.2009.08.018

Hassani, Hossein, Heravi, Saeed ORCID: https://orcid.org/0000-0002-0198-764X and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2009. Forecasting European industrial production with singular spectrum analysis. International Journal of Forecasting 25 (1) , pp. 103-118. 10.1016/j.ijforecast.2008.09.007

Dette, Holger, Pepelyshev, Andrey ORCID: https://orcid.org/0000-0001-5634-5559 and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2008. Improving updating rules in multiplicative algorithms for computing D-optimal designs. Computational Statistics & Data Analysis 53 (2) , pp. 312-320. 10.1016/j.csda.2008.10.002

Savani, Vippal and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2007. Asymptotic distributions of statistics and parameter estimates for mixed Poisson processes. Journal of Statistical Planning and Inference 137 (12) , pp. 3990-4002. 10.1016/j.jspi.2007.04.016

Fedorov, Valerii, Jones, Byron, Savani, Vippal and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2007. Deriving approximations in a random effects model for multicentre clinical trials with binary response. Communications in Statistics - Theory and Methods 36 (3) , pp. 629-644. 10.1080/03610920601001832

Leonenko, Nikolai N. ORCID: https://orcid.org/0000-0003-1932-4091, Savani, Vippal and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2007. Autoregressive negative binomial processes. Annales de l'Institut de Statistique de l'Universite de Paris 51 (1) , pp. 25-47.

Savani, Vippal and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2006. Efficient parameter estimation for independent and INAR(1) negative binomial samples. Metrika 65 (2) , pp. 207-225. 10.1007/s00184-006-0071-x

Pronzato, Luc, Wynn, Henry P. and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2006. Asymptotic behaviour of a family of gradient algorithms in Rd and Hilbert spaces. Mathematical Programming 107 (3) , pp. 409-438. 10.1007/s10107-005-0602-7

Savani, Vippal and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2006. Efficient Estimation of Parameters of the Negative Binomial Distribution. Communications in Statistics - Theory and Methods 35 (5) , pp. 767-783. 10.1080/03610920500501346

Moshchevitin, Nikolai and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2004. Entropies of the partitions of the unit interval generated by the Farey tree. Acta Arithmetica 115 (1) , pp. 47-58.

Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2003. Probabilistic existence theorems in group testing. Journal of Statistical Planning and Inference 115 (1) , pp. 1-43. 10.1016/S0378-3758(02)00148-9

Golyandina, Nina, Nekrutkin, Vladimir Viktorovich and Zhigljavsky, Anatoly Alexandrovich ORCID: https://orcid.org/0000-0003-0630-8279 2001. Analysis of time series structure: SSA and related techniques. Monographs on Statistics & Applied Probability, Chapman & Hall/ CRC.

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 and Zhigljavsky, Anatoly ORCID: https://orcid.org/0000-0003-0630-8279 1999. Weyl sequences: asymptotic distributions of the partition lengths. Acta Arithmetica 88 (4) , pp. 351-361.