Strong laws of large numbers for weighted sums of -mixing random variables
Guang-hui Cai (2007)
Mathematica Slovaca
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Guang-hui Cai (2007)
Mathematica Slovaca
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Rastislav Potocký, Marta Urbaníková (1999)
Mathematica Slovaca
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Alexander R. Pruss (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Klebanov, Lev, Rachev, Svetlozar (1996)
Serdica Mathematical Journal
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* Research supported by NATO GRANT CRG 900 798 and by Humboldt Award for U.S. Scientists. In this paper a general theory of a random number of random variables is constructed. A description of all random variables ν admitting an analog of the Gaussian distribution under ν-summation, that is, the summation of a random number ν of random terms, is given. The v-infinitely divisible distributions are described for these ν-summations and finite estimates of the approximation of ν-sum...
Antonín Špaček (1949)
Časopis pro pěstování matematiky a fysiky
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Wiesław Dziubdziela, Agata Tomicka-Stisz (1999)
Applicationes Mathematicae
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Let be a sequence of independent and identically distributed random variables with continuous distribution function F(x). Denote by X(1,k),X(2,k),... the kth record values corresponding to We obtain some stochastic comparison results involving the random kth record values X(N,k), where N is a positive integer-valued random variable which is independent of the .