[PDF] Top 20 On the strong convergence for weighted sums of negatively superadditive dependent random variables
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On the strong convergence for weighted sums of negatively superadditive dependent random variables
... NSD random variables are not necessarily NA, and left an open problem whether NA random variables implies ...NSD random variables, many authors have studied this concept and ... See full document
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Strong convergence results for weighted sums of ρ˜ mixing random variables
... on strong convergence rates in nonparametric ...Hardy-Littlewood strong law. Stat. Sin. 7, 923-928 (1997) 24. Cuzick, J: A strong law for weighted sums of ...Marcinkiewicz ... See full document
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Complete moment convergence for weighted sums of negatively superadditive dependent random variables
... complete convergence, one can refer to Wu [, ], Gan and Chen [], Yang [], Shao [], Wu [, ], Chen and Sung [], and so ...moment convergence, which is a more general version of the complete ... See full document
13
Strong convergence results for arrays of rowwise pairwise NQD random variables
... complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables under some moment ...complete convergence for an array of rowwise pairwise NQD ... See full document
8
Strong convergence properties for ψ mixing random variables
... -mixing random variables, we obtain the Khintchine-Kolmogorov-type convergence theorem, which can be applied to establish the three series theorem and the Chung-type strong law of large ... See full document
14
Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
... some strong convergence theorems are established for weighted sums of coordinatewise negatively associated random vectors in Hilbert ... See full document
13
Some convergence properties for weighted sums of pairwise NQD sequences
... Some strong convergence results for weighted sums of pairwise NQD sequences are obtained, which generalize the corresponding ones of Wang et ...for negatively orthant dependent ... See full document
8
The moment of maximum normed randomly weighted sums of martingale differences
... randomly weighted sums have been an attractive research topic in the literature of applied ...complete convergence of randomly weighted sums of independent random ele- ments in ... See full document
13
On the weak law of large numbers for normed weighted sums of I I D random variables
... Weighted sums of independent and identically distributed random variables, weak law of large numbers, convergence in probability, random indices, strong law of large numbers, almost cert[r] ... See full document
12
The complete convergence for weighted sums of dependent random fields
... -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various limit properties), Peligrad [] ... See full document
8
On the strong convergence and some inequalities for negatively superadditive dependent sequences
... Marcinkiewicz-type strong law of large numbers, Hajek-Renyi-type inequality and other inequalities for negatively superadditive dependent (NSD) ...NSD random variables is ... See full document
11
Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
... Remark . The methods used in this paper are the Khintchine-Kolmogorov type con- vergence theorem and the three series theorem for AANA random variables, which are partially the same as that in Jajte [] ... See full document
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On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...complete convergence for arrays of rowwise dependent random variables has been ... See full document
12
On the Strong Laws for Weighted Sums of Mixing Random Variables
... Remark 1.3. The proof of Theorem D was based on Theorem 1 of Chen et al. 16, which gave sufficient conditions about complete convergence for NA random variables. So far, it is not known whether the ... See full document
8
Strong stability of weighted sums of NA random variables
... [8] C. M. Newman, Asymptotic independence and limit theorems for positively and negatively depen- dent random variables, Inequalities in Statistics and Probability (Lincoln, Neb., 1982) (Y. L. Tong, ... See full document
11
Complete moment convergence for product sums of sequence of extended negatively dependent random variables
... extended negatively dependent (END) random ...moment convergence results for product sums of sequence of extended negatively dependent (END) random variables ... See full document
15
Strong Laws for Weighted Sums of Negative Dependent Random Variables
... By letting ϖ → ∞ , the proof of Case 2 is completed. ND random variables will lose the property of negative dependence after we truncate them by usual indicators. Only monotone functions preserve the ... See full document
6
A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... The definition of PND is given by Lehmann 1, the concept of ND is given by Bozorgnia et al. 2, and the definition of NA is introduced by Joag-Dev and Proschan 3. These concepts of dependent random ... See full document
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A note on the complete convergence for weighted sums of negatively dependent random variables
... If β < –, then (.) is immediate. Hence Theorem . is of interest only for β ≥ –. Recently, Wu [] extended Theorem . to negatively dependent random variables when β > –. Wu [] ... See full document
10
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... P(X > x, Y > y) ≤ P(X > x)P(Y > y) (1:2) for all x, y Î R. Moreover, it follows that (1.2) implies (1.1), and hence, (1.1) and (1.2) are equivalent. However, (1.1) and (1.2) are not equivalent for a ... See full document
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