Research fields and academical interests

• Limit theorems for weakly dependent random variables with values in finite and infinite dimensional spaces and their applications: central limit theorems; laws of the iterated logarithms; almost sure invariance principles; strong laws of large numbers
• Random fields: limit theorems for mixing random fields with values in finite and infinite dimensional spaces; weakly dependence conditions for random fields
• Theory of U- statistics: Limit theorems for U- statistics from independent and weakly dependent observations
• Autoregressive processes: estimation of parameters of autoregressive processes; autoregressive processes with weakly dependent innovations; autoregressive processes in Banach spaces
• Bootstrap: bootstrap for U-statistics of weakly dependent observations
• Change point analysis
• GARCH models

Some of my publications

1. Marcinkiewich –Zygmund strong laws for U-statistics of weakly dependent observations. Statistics and Probability Letters, 2009,v.79, No.19, 2028-2036 (coauthor: H.Dehling)
2. Laws of the iterated logarithms and an almost sure invariance principle for mixing B-valued random variables and autoregressive processes.Lithuanian Mathematical Journal, 2009, v.49, No. 2, 203-215
3. On the accuracy of Gaussian approximation of the distribution of sums of weakly dependent random variables with values in Rm and lp. Uzbek Mathematical Journal, 2006, N3, 52-67.(coauthor: Parpieva N.T.)
4. The bounded law of the iterated logarithm for weakly dependent random variables with values in a type 2 Banach space. Theory of Probab.and its applications. 2005, 49, N3., 444-457
5. Estimations of mean and covariance operator for Banach space valued autoregressive processes with dependent innovations. Statistical Inference for Stochastic Processes. 2005, v. 8, N2, 137-149. (coauthor: H.Dehling)
6. Rate of convergence in the central limit theorem for weakly dependent random variables with values in lp and co spaces. Uzbek Mathematical Journal, 2004, N2, 101-111
7. Almost sure invariance principles for U-statistics and von Mises functionals from weakly dependent observations. Theory of Probability and its Applications. 2003. vol.47, N4 , 814-817
8. The law of the iterated logarithm for weakly dependent Hilbert space valued random variables. Siberian Mathematical journal. 2003, vol. 44, N.6, 1111-1126 .
9. Strong limit theorems for mixing random variables with values in Hilbert space and their applications. Progress in Probability, 2003, vol. 55, 153-174. Birkhauser Verlag Basel/Switzerland.
10. Poisson limits for U-statistics. Stochastic Processes and Their Applications, 2002, Vol. 99, 137-157. (coauthors: A. Dabrowski , H. Dehling, T.Mikosch )

Grants

1. DFG (German Scientific Foundation) in 2008
2. ICTP (The Abdus Salam International Centre for Theoretical Physics), Trieste, Italy in 2006
3. DAAD (German Academic Exchange Service) in 2006
4. DAAD (German Academic Exchange Service) in 2001
5. The Committee of Science and Technology of the Republic of Uzbekistan in 1999

Research visits

1. Bochum University, Germany (09/2001-12/2001; 04/2003-07/2003; 10/2006-12/2006; 09/2008-12/2008; 09/2009-02/2010)
2. Putra University, Malaysia (04/2009-06/2009)
3. ICTP (International Centre for Theoretical Physics), Trieste, Italy (09/2007-12/2007)
4. Groningen University, The Netherlands (12/1999-02/2001)

Invited talks

1. Dresden Technology University,Germany, 2006
2. Moscow State University, Russia, 2004
3. Copenhagen University, Denmark 2001
4. Kiel University, Germany, 2001
5. Göttingen University, Germany, 2001
6. Delft Technology University ,The Netherlands, 2000

Personal data

Date and place of birth:	March 27, 1962; Samarkand, Uzbekistan
Nationality:	Uzbekistan
Citizenship:	Uzbekistan
Family Status:	Married, two children
Residence:	Tashkent, Uzbekistan