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Inequalities of Maximum of Partial Sums and Convergence Rates in the Strong Laws for ρ^-mixing Random Variables 被引量:1
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作者 TAN Cheng-liang WU Qun-ying HE Yan-mei 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期114-119,共6页
In this paper,we establish a Rosenthal-type inequality of partial sums for ρ~mixing random variables.As its applications,we get the complete convergence rates in the strong laws for ρ^-mixing random variables.The re... In this paper,we establish a Rosenthal-type inequality of partial sums for ρ~mixing random variables.As its applications,we get the complete convergence rates in the strong laws for ρ^-mixing random variables.The result obtained extends the corresponding result. 展开更多
关键词 convergence rates rosenthal type inequality ρ—-mixing random variables ρ~mixing random variables negatively associated random variables
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On Moments of the Maximum of Normed Partial Sums of ρ^--mixing Random Variables 被引量:1
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作者 谭成 吴群英 何燕梅 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第4期499-504,共6页
In this paper, we obtain the moment conditions for the supermun of normed sums of ρ^--mixing random variables by using the Rosenthal-type inequality for Maximum partial sums of ρ^--mixing random variables. The resul... In this paper, we obtain the moment conditions for the supermun of normed sums of ρ^--mixing random variables by using the Rosenthal-type inequality for Maximum partial sums of ρ^--mixing random variables. The result obtained generalize the results of Chen(2008) and extend those to negatively associated sequences and ρ^--mixing random variables. 展开更多
关键词 moments of supermun of normed partial sums ρ^--mixing random variables ρ^--mixing random variables negatively associated random variables
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