[PDF] Top 20 Complete convergence and complete moment convergence for a class of random variables

... independent random variables, then ...dependent random variables satisfying ...NA random variables (see Shao []), ρ * -mixing random variables (see Utev and ... See full document

... NA random variables have been applied to the re- liability theory, multivariate statistical analysis and percolation ...NA random variables have been an attractive research topic in the recent ... 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

... of random variables with EX = 0, E exp(ln α |X |) < ∞, α > ...some complete convergence and complete moment convergence theorems for independent random ... See full document

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

... dependent random variables by many ...the complete moment convergence for a moving average process generated by the class of random variables satisfying a ... See full document

... -mixing random variables with suitable moment ...The moment conditions for the cases α < rp and α > rp are ...The moment conditions for α = rp are nearly ...Rosenthal ... See full document

... the complete moment convergence of moving aver- age process of random sequence under the assumption that the random variables satisfy the Rosenthal type maximal inequality and ... See full document

... the complete convergence of weighted sums of ran- dom sequence under the assumption that the random variables satisfy the Rosenthal type ... See full document

... complete convergence is a very important tool in establishing almost sure convergence of summation of random ...i.i.d. random variables converges completely to the expected value ... See full document

... the complete moment convergence, which is more exact than complete ...Thus, complete moment convergence is one of the most important problems in probability ...following ... See full document

... ful in many probabilistic derivations and stochastic models. There exist several versions available in the literature for independent random variables with assumption of control on their moments. If the ... See full document

... i.i.d. random variables, many authors have studied them for dependent ...(END) random variable sequence was investigated by Shen et ...type convergence rate in the Marcinkiewicz–Zygmund strong ... See full document

... The complete integral convergence is a more important version of the complete con- vergence, and both of them are most important problems in classical probability ...the complete ... See full document

... Hence, from (.), one can clearly know that the complete moment convergence im- plies the complete convergence. Compared with the corresponding results of Gan and Chen [] and Zhu ... See full document

... In this work, we improve Theorem A from complete convergence to complete moment convergence for PNQD random variables under some stronger conditions. In addition, we ... 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

... 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 ... See full document

... the complete moment convergence for sequences of negatively associated random variables satisfying a weak mean dominating ...of complete convergence for negatively ... See full document

... of complete convergence in 1947, many scholars have done a series of research on the complete convergence for independent and identically distributed, results have been studied very perfect ... See full document