Complete f-moment Convergence for Arrays of Rowwise NSD Random Variables
The complete f-moment convergence for negatively superadditive dependent(in short NSD)random variable sequences is discussed in this paper.By using the properties of NSD random variables and their moment inequalities,combin-ing with truncation method,the complete f-moment convergence for maximal partial sums of arrays of row wise NSD random variables is studied.Some sufficient conditions for complete f-moment convergence are provided.The results obtained in this paper generalize the situation of complete moment convergence to complete f-moment convergence in the relevant literature.
NSD random variablecomplete f-moment convergenceRosenthal type inequalityMarcinkiewicz-Zyg-mund inequality
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维普
