Acta mathematica scientia, Series B >
SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES
Received date: 2011-01-03
Revised date: 2011-12-06
Online published: 2012-11-20
Supported by
Supported by the NNSF of China (10671149).
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].
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 . DOI: 10.1016/S0252-9602(12)60187-8
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