On the weak laws of large numbers for arrays of random variables

Yanjiao Meng and Zhengyan Lin

Statistics & Probability Letters, 2009, vol. 79, issue 23, 2405-2414

Abstract: In this paper we obtain weak laws of large numbers (WLLNs) for arrays of random variables under the uniform Cesàro-type condition. As corollary, we obtain the result of Hong and Oh [Hong, D. H., Oh, K. S., 1995. On the weak law of large numbers for arrays. Statist. Probab. Lett. 22, 55-57]. Furthermore, we obtain a WLLN for an Lp-mixingale array without the conditions that the mixingale is uniformly integrable and the Lp-mixingale numbers decay to zero at a special rate.

Date: 2009
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