Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail:
Keywords: Approximation of random elements; characteristic functions; distributions of sums of independent random variables; limit theorems.
UDC: 519.21

Subject:

Characteristic functions and generalized Levy-Khinchine formulas. Convergence, relative and stochastic compactness of sequences of distributions. Infinitely divisible and rationally (quasi-)infinitely divisible distributions. Decompositions of probability laws. Approximation of random processes and fields.

Main publications:

1. I. A. Alexeev, A. A. Khartov, “A criterion and a Cramér-Wold device for quasi-infinite divisibility for discrete multivariate probability laws”, Electronic Journal of Probability, 28 (2023), 1–17 https://doi.org/10.1214/23-EJP1032  
2. I. A. Alexeev, A. A. Khartov, “Spectral representations of characteristic functions of discrete probability laws”, Bernoulli, 29:2 (2023), 1392–1409 https://doi.org/10.3150/22-BEJ1503  
3. A. A. Khartov, “On weak convergence of quasi-infinitely divisible laws”, Pacific Journal of Mathematics, 322:2 (2023), 341–367 (Published online) https://doi.org/10.2140/pjm.2023.322.341, arXiv: https://arxiv.org/abs/2204.13667  
4. A. A. Khartov, “A criterion of quasi-infinite divisibility for discrete laws”, Statistics & Probability Letters, 185 (2022), 109436 https://www.sciencedirect.com/science/article/pii/S0167715222000426?via  
5. A. A. Khartov, “Criteria of relative and stochastic compactness for distributions of sums of independent random variables”, Theory Probab. Appl., 63:1 (2018), 57–71                
6. A. A. Khartov, “Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements”, J. Complexity, 31:6 (2015), 835-866 http://www.sciencedirect.com/science/article/pii/S0885064X1500062X, arXiv: https://arxiv.org/abs/1410.4320            

Full list of scientific publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Saint Petersburg State University
• Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
• Smolensk State University
• St. Petersburg National Research University of Information Technologies, Mechanics and Optics
• Moscow Technical University of Communications and Informatics