[PDF] Top 20 Equivalent conditions of complete moment convergence for extended negatively dependent random variables

... P(X > x, Y > y) ≤ P(X > x)P(Y > y) (.) for all x, y ∈ R. Moreover, it follows that (.) implies (.), and hence (.) and (.) are equivalent. However, Ebrahimi and Ghosh ( []) showed that ... See full document

... Complete moment convergence for product sums of sequences of extended negatively dependent random variables are discussed by utilizing the method of Wang et ... See full document

... of extended negatively dependent random variables is established under sub-linear expectations ...the complete convergence and complete moment ... 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 variables ... See full document

... (i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...and extended in sev- eral directions by many ... See full document

... mild conditions, Wu [] for the three series theorem of pairwise NQD sequences and the Marcinkiewicz strong law of large numbers, Li and Yang [], Wu and Jiang [] for strong limit theorems, Shen et ...the ... See full document

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

... applying moment inequality of negatively dependent (ND) random variables which obtained by Asadian et ...the complete convergence theorem for weighted sums of arrays of ... 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 ...the ... See full document

... If β < –, then (.) is immediate. Hence Theorem . is of interest only for β ≥ –. Recently, Wu [] extended Theorem . to negatively dependent random variables when β > –. ... See full document

... to negatively orthant depen- dent (NOD) random ...necessary conditions are ...the complete convergence is obtained for NOD ...plete moment convergence for NOD, but the ... See full document

... some moment inequalities of partial sums, the central limit theorems, and the complete convergence, Kim et ...some moment inequalities of the maximum of partial sums, Wang and Zhang [18] for a ... See full document

... A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et ...partially extended to negatively associated and ... See full document

... The complete qth moment convergence for dependent random variables was estab- lished by many ...are equivalent for ϕ-mixing random ...established complete ... See full document

... Complete convergence is one of the most important problems in probability ...the complete convergence can be found in Wu 11, 12 and Sung 13, ...the complete convergence for ... See full document

... NSD random variables with EX i r < ∞ for all i ≥  and some r > ...NSD random variables. Wang et al. [] inves- tigated the complete convergence for arrays of rowwise NSD ... See full document

... peradditive dependent (NSD) random ...END random variables, Wu [7] for negatively associated random variables, Wu et ...weakly dependent random ... 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

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

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