
Degrees: 
PhD,
Probability inequalities and limit theorems for generalized Lstatistics,
17/04/2002,
scientific supervisor – Professor Igor S. Borisov
(Sobolev Institute of Mathematics, Novosibirsk) 
Master's degree, Probability inequalities for generalized Lstatistics, 1998

Bachelor's degree, Moment inequalities for generalized Lstatistics, 1996


• Order statistics • Linear combinations of order statistics (Lstatistics) • Spacings statistics
• Probability inequalities and limit theorems for additive functionals of order statistics
• Empirical processes • Quantile processes • Lorenz curves
• Functional limit theorems for stochastic processes based on dependent random variables
• Rate of convergence in strong law of large numbers for Lstatistics with mixing data
• Probability inequalities for dependent random variables

since 2004
Associate Professor at Novosibirsk State University
19982004
Assistant Professor at Novosibirsk State University

since 2020 Lectures in Stochastic Processes,
Department of Mathematics
since 2013 Lectures in Financial Mathematics for graduate students,
Probability and Statistics Chair
since 2007 Lectures in Martingale Theory and Stochastic Calculus for graduate students,
Probability and Statistics Chair
since 2002 Lectures in Advanced Probability for graduate students,
Probability and Statistics Chair
20042006 Lectures in Probability Theory and in Mathematical Statistics, Department of Natural Sciences
19982018 Classes in Probability Theory and in Mathematical Statistics, Novosibirsk State University

20022017 Associate Dean of Department of Mathematics, Novosibirsk State University


Grant of the President of the Russian Federation for Junior Scientists, 20052006

Lavrentiev Youth Contest laureate, 2003

Novosibirsk Administration Award (Novosibirsk Scientific Center, Siberian Department of Russian Academy of Sciences,
Junior Scientists' Projects Contest winner), 2002


The strong law of large numbers for Lstatistics with dependent data. 2006.
Siberian Mathematical Journal, V. 47 No. 6, 975979.
see also ArXiv
The strong law of large numbers for linear combinations of functions of order statistics (Lstatistics) based on weakly dependent random variables is proven.
We also establish the GlivenkoCantelli theorem for uniform mixing (φmixing) sequences of identically distributed (not necessarily stationary) random variables.


Probability inequalities and limit theorems for generalized Lstatistics (with Borisov I. S.). 2003.
Lithuanian Mathematical Journal, V. 43 No. 2, 125140.
In the paper we obtain exponential upper bounds for tails of distributions of generalized
Lstatistics based on a sample from an exponential distribution. We prove the asymptotic normality of generalized Lstatistics based on a sample from the uniform distribution on
[0, 1] and of Lstatistics with decomposed kernels (without any restrictions on the sample distribution type).


Probability inequalities for generalized Lstatistics (with Borisov I. S.). 2001.
Siberian Mathematical Journal, V. 42 No. 2, 217231.
Exponential bounds for the tail probabilities of the generalized Lstatistics based on a sample from the uniform distribution are obtained. We also establish probability and moment inequalities for classical Lstatistics.


Moment inequalities for generalized Lstatistics (with Borisov I. S.). 1998.
Siberian Mathematical Journal, V. 39 No. 3, 415421.
Moment inequalities for generalized Lstatistics (additive functionals of order statistics) are obtained.



IV International Conference
"Limit Theorems in Probability Theory and Their Applications",
Novosibirsk, Russia, August 2125, 2006.

31st Conference on Stochastic Processes and Their Applications,
Paris, France, July 1721, 2006.

9th International Vilnius Conference on Probability Theory and Mathematical Statistics,
Vilnius, Lithuania, June 2630, 2006.

International Conference "Kolmogorov and Contemporary Mathematics",
Moscow State University, Moscow, June 16  21, 2003.

XXIII Seminar on Stability Problems for Stochastic Models,
Public University of Navarre, Pamplona, Spain, May 1217, 2003.

8th International Vilnius Conference on Probability Theory and Mathematical Statistics,
Vilnius, Lithuania, June 2329, 2002.

Stochastic Inequalities and Their Applications,
Centre de Recerca Matematica, Bellaterra (Barcelona), Spain, June 1721, 2002.
