[PDF] Top 20 Complete moment convergence for product sums of sequence of extended negatively dependent random variables

... the sequence of arithmetic means of independent identically distribution ...(i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...and ... See full document

... of complete moment convergence for sequences of identically distributed extended negatively dependent random ...of complete moment convergence ... 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

... among random variables isn't ...some random variables are often related to decreases in other random variables and the assumption of negative dependence is more appropriate than ... See full document

... [9] extended Theorem 1.2 to negatively associated random ...rowwise negatively associated random variables and { a n , n ≥ 1} a sequence of nonnegative ... See full document

... -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various limit properties), ... See full document

... The convergence properties of NQD random sequences have been studied in many ...weighted sums of pairwise NQD random variables under some fragile conditions, Li and Yang [6], Wu [7], ... See full document

... i.i.d. random variables, many authors have studied them for dependent ...weighted sums of extended negatively depen- dent (END) random variable sequence was ... See full document

... the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random ...of complete moment convergence, ... See full document

... weighted sums plays an important role in the statis- tics, such as jackknife estimate, nonparametric regression function estimate and so ...the complete convergence of the weight sums of ... See full document

... a sequence of pairwise NQD random variables is a family of very wide scope, which contains a pairwise independent random variable sequence and a negatively orthant ... See full document

... to negatively orthant depen- dent (NOD) random ...the complete convergence is obtained for NOD ...plete moment convergence for NOD, but the main result in our paper is more exact ... See full document

... the complete moment convergence of weighted sums for arrays of rowwise ϕ-mixing random variables by applying truncation ...are extended to ϕ- mixing ...ϕ-mixing ... See full document

... complete convergence of random variables is a very important tool in establishing almost sure ...concerning complete convergence for normed sums of random ... See full document

... is more reasonable than an independence assumption. One can refer to Matuła [] for Kolmogorov-type strong law of large numbers of the identically distributed pairwise NQD sequences, Chen [] for Kolmogorov-Chung ... See full document

... the sequence of arithmetic means of independent identically distribution ...(i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...and ... See full document

... independent random variables, complete convergence has been extensively investigated see, ...Recently, complete convergence for arrays of rowwise dependent random ... See full document

... independent random variables. Thus, complete convergence is one of the most important problems in probability ...the sequence of arithmetic means of independent and identically ... 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

... The complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete ... See full document