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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 495, Pages 177–186 (Mi znsl7003)  
Some applications of Yu. V. Linnik's theorem on characteristic functions

L. B. Klebanov

Charles University
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Abstract: In the paper there are given some applications of Yu. V. Linnik theorem and a result by B. Ramachandran and C. R. Rao to obtain necessary conditions for the convergence in special limit theorems. The case of convergence of sums of random number of random variables is considered too.
Key words and phrases: Linnik's theorem, existence of moments, necessary conditions forconvergence, strongly monotone operators.
Funding agency Grant number
Grantová Agentura České Republiky 19-04412S
Received: 28.09.2020
Document Type: Article
UDC: 519.2
Language: Russian
Citation: L. B. Klebanov, “Some applications of Yu. V. Linnik's theorem on characteristic functions”, Probability and statistics. Part 29, Zap. Nauchn. Sem. POMI, 495, POMI, St. Petersburg, 2020, 177–186
Citation in format AMSBIB
\Bibitem{Kle20}
\by L.~B.~Klebanov
\paper Some applications of Yu.~V.~Linnik's theorem on characteristic functions
\inbook Probability and statistics. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 495
\pages 177--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7003}
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  • https://www.mathnet.ru/eng/znsl/v495/p177
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