E-mail: ,
Keywords: limit theorems for stochastic processes and random fields, dependence conditions for systems of random variables (mixing, association etc.), moment and maximal inequalities for sums of multi-indexed summands, central limit theorem, functional law of the iterated logarithm, invariance principles, rates of convergence in limit theorems, Burgers' equation with random initial conditions, stochastic models in radio-biology, statistical methods of data analysis, estimation of genetic risks of complex diseases.

Subject:

Limit theorems for stochastic processes and random fields and their applications. Stochastic models for dependent data. Statistical methods of genetic data analysis.

Main publications:

1. A. Bulinski, A. Shashkin, Limit Theorems for Associated Random Fields and Related Systems, Advanced Series on Statistical Science and Applied Probability, 10, World Scientific, Singapore, 2007, 436 pp.      
2. A. V. Bulinski, A. N. Shiryaev, Theory of Stochastic Processes, Classical University Textbook, Fizmatlit, Moscow, 2005 (in Russian)
3. A. Bulinski, “A new variant of the functional law of the iterated logarithm”, Theory of Probability and its Applications, 25:3 (1981), 493–503      
4. A. Bulinski, A. Shashkin, “Strong invariance principle for dependent random fields”, Dynamics and Stochastics, Festscrift in honor of M. S. Keane, IMS Lecture Notes – Monograph Series, 48, 2006, 128–143      
5. A. Bulinski, O. Butkovsky, V. Sadovnichy, A. Shashkin, P. Yaskov, A. Balatskiy, L. Samokhodskaya, V. Tkachuk, “Statistical Methods of SNP Data Analysis and Applications”, Open Journal of Statistics, 2:1 (2012), 1–15

Recent publications

Presentations in Math-Net.Ru

Personal pages:

• 
• 
• 

Organisations:

• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow