Abstract:
A generalization of the well-known inequality of K. G. Esseen [1] for two-dimensional case as well as some estimates of the difference $P(A)-Q(A)$ in terms of characteristic functions are given.
Citation:
S. M. Sadikova, “On two-dimensional analogs of an inequality of K. G. Esseen and their application to the Central Limit Theorem”, Teor. Veroyatnost. i Primenen., 11:3 (1966), 369–380; Theory Probab. Appl., 11:3 (1966), 325–335
\Bibitem{Sad66}
\by S.~M.~Sadikova
\paper On two-dimensional analogs of an inequality of K.\,G.~Esseen and their application to the Central Limit Theorem
\jour Teor. Veroyatnost. i Primenen.
\yr 1966
\vol 11
\issue 3
\pages 369--380
\mathnet{http://mi.mathnet.ru/tvp637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=207016}
\zmath{https://zbmath.org/?q=an:0202.48503}
\transl
\jour Theory Probab. Appl.
\yr 1966
\vol 11
\issue 3
\pages 325--335
\crossref{https://doi.org/10.1137/1111035}
Linking options:
https://www.mathnet.ru/eng/tvp637
https://www.mathnet.ru/eng/tvp/v11/i3/p369
Erratum
Letter to the Editor S. M. Sadikova Teor. Veroyatnost. i Primenen., 1967, 12:2, 396
This publication is cited in the following 32 articles:
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