Speciality:
01.01.05 (Probability theory and mathematical statistics)
Phone: +7 (495) 939 53 94
Fax: +7 (495) 939 25 96
E-mail: , ,
Website: https://cs.msu.ru/persons/ulianov-v-v Keywords: limit theorems of probability theory, vector-valued random variables, weak limit theorems, Gaussian processes,
appoximations in statistics, transforms of probability distributions.
UDC: 513.83, 519.224.24, 519.214, 519.226
Subject:
Limit theorems of probability theory for vector-valued random variables and its applications. Weak limit theorems. Probability measures on topological spaces. Gaussian processes.
Asymptotic distribution theory in statistics. Transforms of probability distributions in statistics.
Main publications:
V. V. Ulyanov, G. Kristof, Ya. Fudzhikoshi, “O priblizheniyakh preobrazovanii khi-kvadrat raspredelenii v statisticheskikh prilozheniyakh”, Sib. matem. zhurn., 47:6 (2006), 1401–1413
F. Gettse, Yu. V. Prokhorov, V. V. Ulyanov, “Otsenki dlya kharakteristicheskikh, funktsii mnogochlenov ot asimptoticheski normalnykh sluchainykh velichin”, UMN, 51:2(308) (1996), 3–26
V. V. Sazonov, V. V. Ulyanov, “Asimptoticheskie razlozheniya veroyatnosti summe nezavisimykh sluchainykh velichin popast v shar gilbertovogo prostranstva”, UMN, 50:5(305) (1995), 203–222
B. A. Zalesskii, V. V. Sazonov, V. V. Ulyanov, “Pravilnaya otsenka skorosti skhodimosti v tsentralnoi predelnoi teoreme v gilbertovom prostranstve”, Matem. sb., 180:12 (1989), 1587–1613
Fujikoshi, Yasunori and Ulyanov, Vladimir V. and Shimizu, Ryoichi, Multivariate statistics: High-dimensional and large-sample approximations, A comprehensive examination of high-dimensional analysis of multivariate methods and their real-world applications, Wiley Series in Probability and Statistics, John Wiley & Sons, Hoboken, NJ, 2010
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