Summation of independent random values of the Ries method

Under moment restrictions on Х1 exact sufficient conditions are established on the growth of ап for the convergence almost surely of weighted Riesz means An-1 Σ1n ai Xi to MX1, where (Xn) is a sequence of independent identically distributed random variables, (аn) is a positive numerical sequence Аn...

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Datum:1992
Hauptverfasser: Matsak , I. K., Мацак , И. К.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7960
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:Under moment restrictions on Х1 exact sufficient conditions are established on the growth of ап for the convergence almost surely of weighted Riesz means An-1 Σ1n ai Xi to MX1, where (Xn) is a sequence of independent identically distributed random variables, (аn) is a positive numerical sequence Аn = Σ1n ai.