On complete convergence for Stout’s type weighted sums of NOD sequence

On complete convergence for Stout’s type weighted sums of NOD sequence

In this paper, the complete convergence for the weighted sums of independent and identically distributed random variables in Stout [9] is improved and extended under NOD setup. The more optimal moment condition is given. The main results also hold for END sequence.

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2015-09, Vol.30 (3), p.340-346
Hauptverfasser: Yi, Yan-chun, Hu, Di, Chen, Ping-yan
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, the complete convergence for the weighted sums of independent and identically distributed random variables in Stout [9] is improved and extended under NOD setup. The more optimal moment condition is given. The main results also hold for END sequence.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-015-3286-7