Speciality:
01.01.05 (Probability theory and mathematical statistics)
Birth date:
27.03.1962
E-mail: Keywords: mixing conditions; central limit theorem; law of the iterated logarithm; invariance principle; Banach-valued random variable; U-statistics; random fields; autoregressive processes.
Subject:
Under minimal moment conditions bounded and compact laws of the iterated logarithm, an almost sure invariance principle were proved for Hilbert-valued mixing random variables. A central limit theorem and the rate of convergence in the central limit theorem for weakly dependent random variables with values in $l_p$ were obtained. A central limit theorem for Banach-valued mixing random fields was proved. Limit theorems for U-statistics of weakly dependent observations were established.
Main publications:
Sharipov O. Sh. Otsenka skorosti skhodimosti v tsentralnoi predelnoi teoreme dlya slabo zavisimykh sluchainykh velichin so znacheniyami v prostranstve $l_p$ // Nekotorye voprosy analiza i algebry. Sb. nauch. trudov TashGU (otv. red. G. Khudoi-berganov). 1994, s. 165–178.
Sharipov O. Sh. O veroyatnostnoi kharakterizatsii banakhovykh prostranstv slabozavisimymi sluchainymi elementami // Uzbekskii matematicheskii zhurnal. 1998, # 2, s. 86–91.
Sharipov O. Sh. Tsentralnaya predelnaya teorema dlya $l_p$-znachnykh sluchainykh polei s peremeshivaniem // Uzbekskii matematicheskii zhurnal. 1998, # 6, s. 70–75.
Parpieva N. T., Sharipov O. Sh. Tsentralnaya predelnaya teorema dlya statsionarnykh sluchainykh polei so znacheniyami v nekotorykh banakhovykh prostranstvakh // Uzbekskii matematicheskii zhurnal. 1999, # 1, s. 68–73.
Formanov Sh. K., Sharipov O. Sh. Pochti navernoe printsip invariantnosti dlya funktsionalov Mizesa ot slabozavisimykh nablyudenii // Doklady Akademii Nauk RUz. 2000, # 12, s. 3–5.
