[PDF] Top 20 Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
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Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
... A considerably simpler proof of the limit law (1.1) was obtained by Dharmadhikari [4] who did not refer to the Pyke and Root [12] article. Chandra [3] established the following more general result for mean ... See full document
14
Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
... Remark . (i) The residual (, h)-integrability concerning the arrays of constants was defined by Yuan and Tao [], who called it the residual h-integrability, and was extended by Ordóñez Cabrera et al. [] to ... See full document
9
Some inequalities for a LNQD sequence with applications
... LNQD random variables, the concept of LNQD ran- dom variables has received more and more attention ...of convergence in the central limit theorem for LNQD sequence; Ko et ...strong ... See full document
9
Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
... Because pairwise NQD includes the independent, NA (negatively associated), NOD (negatively orthant dependent) and LNQD (linearly negative quadrant dependent), it is a more general ... See full document
11
A note on the complete convergence for arrays of dependent random variables
... complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et ...negatively dependent mean zero random ... See full document
8
Some strong limit theorems for arrays of rowwise negatively orthant dependent random variables
... limit theorems for NOD random variables have been established by many ...sure convergence, Amini and Bozorgnia [10,11], Kuczmaszewska [12], Taylor et ...complete convergence, and so ... See full document
10
On the complete convergence for pairwise negatively quadrant dependent random variables
... distributed pairwise NQD sequences, Chen [] for Kolmogorov-Chung strong law of large numbers for the non- identically distributed pairwise NQD sequences under very mild conditions, Wu [] for the three ... See full document
11
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... independent random variables. Thus, complete convergence is one of the most important problems in probability ...(i.i.d.) random variables converges completely to the expected value if ... See full document
10
A note on the complete convergence for weighted sums of negatively dependent random variables
... complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete convergence for ... See full document
10
Some strong convergence properties for arrays of rowwise ANA random variables
... paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random ... See full document
16
Strong convergence results for arrays of rowwise pairwise NQD random variables
... for pairwise NQD random variables. For many sequences of random variables, such as inde- pendent sequence, negatively associated sequence (see Shao []), negatively dependent ... See full document
8
On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables
... complete convergence to complete moment convergence for PNQD random variables under some stronger ...obtain some much stronger conclusions under the same conditions of the ... See full document
14
Complete Convergence for Negatively Dependent Sequences of Random Variables
... Complete convergence is one of the most important problems in probability ...complete convergence can be found in Wu 11, 12 and Sung 13, ...complete convergence for negatively dependent ... See full document
10
Strong convergence properties for ψ mixing random variables
... -mixing random variables was introduced by Blum et al. [] and some applications have been ...sure convergence of weighted sums, Wu [] for strong consistency of M estimator in linear model, ... See full document
14
On the complete convergence for weighted sums of a class of random variables
... Proof of Corollary . From (.), (.) in the proof of Theorem ., and the condition (.) holding for some ≤ p < q and q > , we only need to show (.) holds. By Markov’s inequality, the Rosenthal ... See full document
12
Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples
... utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly ... See full document
12
A note on complete convergence of weighted sums for array of rowwise AANA random variables
... complete convergence for an array of rowwise random variables was studied by many ...complete convergence for an array of rowwise inde- pendent random variables was ... See full document
13
On the strong law for arrays and for the bootstrap mean and variance
... Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions.. An interesting application of these results is t[r] ... See full document
8
Complete convergence for negatively orthant dependent random variables
... Obviously, every sequence of independent random variables is NOD. Joag-Dev and Proschan [] pointed out that NA implies NOD, neither being NUOD nor being NLOD implies being NA. They gave an example that ... See full document
12
Complete moment convergence for maximal partial sums under NOD setup
... independent random variables is ...more convergence properties about NOD random variables, one can refer to [, , , –], and so ... See full document
12
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