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 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| 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| 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. |
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