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On complete convergence for arrays

In this note we present new results on a complete convergence for arrays of rowwise independent random variables that generalize the results of Hu et al. [2003. Complete convergence for arrays of rowwise independent random variables. Comm. Korean Math. Soc. 18, 375-383], Kuczmaszewska [2004. On some conditions for complete convergence for arrays. Statist. Probab. Lett. 66, 399-405], and Sung et al. [2005. More on complete convergence for arrays. Statist. Probab. Lett. 71, 303-311]. Additional results that deal with complete convergence for rowwise dependent arrays are given.
Year of publication:
2006
Authors: Kruglov, Victor M. ; Volodin, Andrei I. ; Hu, Tien-Chung
Published in:
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 15, p. 1631-1640
Publisher: Elsevier
Keywords: Arrays Rowwise independence Sums of independent random variables Complete convergence
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Persistent link: https://www.econbiz.de/10005259287
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