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On the weak laws with random indices for partial sums for arrays of random elements in martingale type $p$ Banach spaces

Tien-Chung Hu|성수학|Andrei I. Volodin
대한수학회 (The Korean Mathematical Society)|2006.08|대한수학회보 (Bulletin of the KMS)|제43권 제3호|pp. 543-549

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Abstract

Sung et al. [13] obtained a WLLN (weak law of largenumbers) for the arrayfXni ;un i vn ;n 1g of random vari-ables under a Cesaro type condition, wherefun 1 ;n 1g andfvn + 1 ;n 1g are two sequences of integers. In this paper, weextend the result of Sung et al. [13] to a martingale typep Banachspace.

참고문헌 (14)

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