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Multidimensional Version of the Second Uniform Limit Theorem of Kolmogorov

1990; Society for Industrial and Applied Mathematics; Volume: 34; Issue: 1 Linguagem: Inglês

10.1137/1134003

1095-7219

A. Yu. Zaîtsev,

Probability and Statistical Research

Previous article Next article Multidimensional Version of the Second Uniform Limit Theorem of KolmogorovA. Yu. ZaitsevA. Yu. Zaitsevhttps://doi.org/10.1137/1134003PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] T. V. Arak, On the approximation of n -fold convolutions of distributions having a negative characteristic function, with associated laws, Theory Probab. Appl., 25 (1980), 221–243 10.1137/1125033 0456.60012 LinkGoogle Scholar[2] T. V. Arak and , A. Yu. Zaitsev, Uniform limit theorems for sums of independent random variables, Trudy Mat. Inst. Steklov., 174 (1986), 214–, (In Russian.) 88m:60072 0606.60028 Google Scholar[3] A. A. Borovkov, Wahrscheinlichkeitstheorie, Birkhäuser Verlag, Basel, 1976xi+264, Eine Einfuehrung 53:14561 0345.60002 Google Scholar[4] Yu. R. Gabovich, The stability of the characterization of the multivariate normal distribution in the Skitovič-Darmois theorem, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 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