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.
Biography
Graduated from Faculty of Mathematics of Tashkent State University in 1984 (department of probability theory and mathematical statistics) Ph.D. thesis was defended in 1993. A list of my works contains more than 25 titles.
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.
Olimjon Sh. Sharipov, Anvar F. Norjigitov, “Central limit theorem for weakly dependent random variables with values in $D\left[0,1\right]$”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 281–291
2021
2.
O. Sh. Sharipov, A. F. Norjigitov, “Law of large numbers for weakly dependent random variables with values in $D\left[0,1\right]$”, Ufimsk. Mat. Zh., 13:4 (2021), 126–133; Ufa Math. J., 13:4 (2021), 123–130
R. I. Muchamedkhanova, Sh. M. Mirakhmedov, I. U. Rakhimov, O. Sh. Sharipov, Ya. M. Khusanbaev, “On the centenary of Sagdy Khasanovich Sirazhdinov”, Teor. Veroyatnost. i Primenen., 65:2 (2020), 431–432; Theory Probab. Appl., 65:2 (2020), 338–339
2004
4.
O. Sh. Sharipov, “The bounded law of the iterated logarithm
for weakly dependent random variables
with values in a type 2 Banach space”, Teor. Veroyatnost. i Primenen., 49:3 (2004), 522–537; Theory Probab. Appl., 49:3 (2005), 444–457
O. Sh. Sharipov, “The law of the iterated logarithm for weakly dependent Hilbert space valued random variables”, Sibirsk. Mat. Zh., 44:6 (2003), 1407–1424; Siberian Math. J., 44:6 (2003), 1111–1126
O. Sh. Sharipov, “Invariance principle for $U$-statistics and von Mises' functionals of weakly dependent observations”, Teor. Veroyatnost. i Primenen., 47:4 (2002), 814–817; Theory Probab. Appl., 47:4 (2003), 730–733
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