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

Scherbakova, Irina, 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 2025. Statistical modelling for improving efficiency of online advertising. Aston, P. J., ed. More UK Success Stories in Industrial Mathematics, Mathematics in Industry, Springer Nature Switzerland, pp. 205-211. (10.1007/978-3-031-48683-8_26)

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

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

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

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

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.

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

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

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.

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.

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. 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

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.