SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES

doi:10.1016/S0252-9602(12)60187-8

Abstract

Abstract:

In this paper the authors study the complete, weak and almost sure conver-gence for weighted sums of NOD random variables and obtain some new limit theorems for weighted sums of NOD random variables, which extend the corresponding theorems of Stout [1], Thrum [2] and Hu et al. [3].

Key words: complete convergence, weak convergence, almost sure convergence, array, weighted sum, NOD random variable sequence

CLC Number:

60F15

GAN Shi-Xin, CHEN Ping-Yan. SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES[J].Acta mathematica scientia,Series B, 2012, 32(6): 2388-2400.

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