On complete convergence for arrays

Victor M. Kruglov, Andrei I. Volodin and Tien-Chung Hu

Statistics & Probability Letters, 2006, vol. 76, issue 15, 1631-1640

Abstract: 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.

Keywords: Arrays; Rowwise; independence; Sums; of; independent; random; variables; Complete; convergence (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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