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 Zap. Nauchn. Sem. POMI: Year: Volume: Issue: Page: Find

 Zap. Nauchn. Sem. POMI, 2017, Volume 466, Pages 273–288 (Mi znsl6554)

On asymptotic expansions in the “interval” CLT for sums of independent random vectors

L. V. Rozovsky

St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia

Abstract: We investigate the remainder term taking into account the asymptotic expansions in the multidimensional central limit theorem for sum of independent random vectors. The dependence of the remainder term on the measure of hitting set is investigated.

Key words and phrases: central limit theorem, independent random vectors, volume of Borel set, asymptotic expansions.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-01-00367

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Document Type: Article
UDC: 519.2

Citation: L. V. Rozovsky, “On asymptotic expansions in the “interval” CLT for sums of independent random vectors”, Probability and statistics. Part 26, Zap. Nauchn. Sem. POMI, 466, POMI, St. Petersburg, 2017, 273–288

Citation in format AMSBIB
\Bibitem{Roz17} \by L.~V.~Rozovsky \paper On asymptotic expansions in the interval'' CLT for sums of independent random vectors \inbook Probability and statistics. Part~26 \serial Zap. Nauchn. Sem. POMI \yr 2017 \vol 466 \pages 273--288 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6554}