[PDF] Top 20 Complete convergence and complete moment convergence for weighted sums of m NA random variables

... for weighted sums of ...strong convergence of a weighted ...for weighted sums of ...of weighted sums of ... See full document

... about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference ... See full document

... The complete convergence has a relatively complete development in probability limit ...of complete convergence was raised by Hsu and Robbins [], and Chow [] established ... See full document

... END random variables, many researchers pay attention to the study of ...some moment inequalities of END sequence; Wang et ...the complete convergence for END sequences; Wang et ...for ... See full document

... of random variables have been es- tablished by many ...the moment inequalities, and Sung [1] for the complete convergence of weighted ... See full document

... the moment inequalities for the ϕ-mixing random variables and gave its application to the complete convergence for this stochastic process; Yu [] ob- tained the complete ... See full document

... of complete convergence, one can refer to Wu [, ], Gan and Chen [], Yang [], Shao [], Wu [, ], Chen and Sung [], and so ...the complete moment convergence, which is a ... See full document

... investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random ...ANA ... See full document

... the complete moment convergence of moving average processes based on a ϕ-mixing random sequence with different ...the complete convergence to the complete moment ... See full document

... convergence of weighted sums for an array of rowwise AANA random variables. The main result of the paper generalizes the Baum-Katz theorem on AANA random variables. Our ... See full document

... provide complete convergence for weighted sums of arrays of row- wise ρ-mixing random ...˜ random variables are ... See full document

... and M-estimates (see Rao and Zhao []) in linear models, the nonparametric regression estimators (see Priestley and Chao []) ...the complete convergence for the weighted sums is very ... See full document

... independent random variables. Thus, complete convergence is one of the most important problems in probability ...(i.i.d.) random variables converges completely to the expected ... See full document

... is complete. Remark According to Ko [], the results on the complete moment convergence for neg- atively associated random variables was established only in the case p > ... See full document

... Proof From (.), (.) follows. Hence, by Corollary ., we obtain (.). Remark Linear random fields are of great importance in time series analysis. They arise in a wide variety of context. Applications to ... See full document

... random variables. Some new sufficient conditions of com- plete moment convergence results for product sums of sequence of extended negatively dependent (END) random ... See full document

... Moreover, they proved that the sequence of arithmetic means of independent and iden- tically distributed (i.i.d.) random variables converges completely to the expected value if the variance of the summands ... See full document

... independent random variables is ...that NA implies NOD, neither being NUOD nor being NLOD implies being ...possess NA, which shows that NOD is strictly wider than ...NOD random vari- ... See full document

... the complete convergence and complete moment convergence for a sequence of the class of random variables satis- fying a Rosenthal-type maximal inequality and prove the ... See full document

... In many mathematical and mechanical models, a PNQD assumption among the random variables in the models is more reasonable than an independence assumption. PNQD se- ries have received more and more attention ... See full document