[PDF] Top 20 On the Complete Convergence ofWeighted Sums for Dependent Random Variables
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On the Complete Convergence ofWeighted Sums for Dependent Random Variables
... and complete convergence of a particular weighted sum of iid random ...random variables. In section 3 we prove a theorem about almost sure convergence of the weighted ... See full document
8
On the strong convergence for weighted sums of negatively superadditive dependent random variables
... the complete convergence for weighted sums of NSD random ...Some complete convergence re- sults for the maximum weighted sums of NSD random variables are ... See full document
14
Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables
... In this section, we provide complete convergence for weighted sums of arrays of row- wise ρ-mixing random variables. As applications, the Baum and Katz type result and the ˜ ... See full document
14
Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Mixing Random Variables
... 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
14
On complete convergence for randomly indexed sums for a case without identical distributions
... In this note we extend the complete convergence for randomly indexed sums given by Klesov 1989 to nonidentical distributed random variables... KEY WORDS AND PHRASES: complete convergence[r] ... See full document
10
A generalization of the global limit theorems of R P Agnew
... convergence, complete convergence, almost everywhere convergence, uniform convergence, sums of independent random variables, central limit theorem, Liapounov condition... 1980 AMS SUBJEC[r] ... See full document
10
A note on complete convergence of weighted sums for array of rowwise AANA random variables
... AANA random variables contains NA (in particular, independent) random variables (with q(n) = , n ≥ ) and some more kinds of random variables which are not much deviated from ... See full document
13
On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
... Chandra and Goswami [4], also proved Theorem CG2, by Theorem CG1, and extended the results of Landers and Rogge [8] for pairwise independent r.v.'s. Theorem CG2. Let be a sequence of pairwise independent random ... See full document
6
A note on the complete convergence for arrays of dependent random variables
... obtained complete convergence results (Theo- rems ...negatively dependent ran- dom variables and then they proved the case of mean zero by using these ... See full document
8
Complete Convergence for Negatively Dependent Sequences of Random Variables
... 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
10
Strong convergence results for arrays of rowwise pairwise NQD random variables
... NQD random variables is a family of very wide scope, which contains a pairwise independent random variable sequence and a negatively orthant dependent (NOD) ran- dom variable sequence as ... See full document
8
Strong convergence results for weighted sums of ρ˜ mixing random variables
... sure convergence, Peligrad and Gut [], Gan [], Cai [], Kuczmaszewska [], Zhu [], An and Yuan [] and Wang et ...for complete convergence, Peligrad [] for invariance principle, Wu and Jiang ... See full document
11
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 ... See full document
8
Moment Inequalities and Complete Moment Convergence
... the complete moment convergence by using some moment ...or dependent random variables to random variables satisfying some conditions similar to ... See full document
14
Equivalent conditions of complete moment convergence for extended negatively dependent random variables
... the complete moment convergence, which is more exact than complete ...Thus, complete moment convergence is one of the most important problems in probability ...following complete ... See full document
11
The Complete Convergence of Exchangeable Random Variables
... independent random variables, but in many practical problems, samples are not independent, or the function of independent sample is not independent, or the verification of independent is more ...of ... See full document
5
Complete convergence and complete moment convergence for a class of random variables
... independent random variables, then ...of dependent random variables satisfying ...NA random variables (see Shao []), ρ * -mixing random variables (see Utev ... See full document
12
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... Lemma 3. Suppose that X 1 , , " X n , " are identically random variables with E X ( 1 ) 0 = and E X ( 1 p ) < ∞ for some p ∈ (0, 2) that satisfying in Marcinkiewicz and Zygmund’s theorem. Assume ... See full document
6
On the complete convergence for pairwise negatively quadrant dependent random variables
... Motivated by the above works, the main purposes of the paper are to give several gener- alized complete convergence results for pairwise NQD random sequences, which include some well-known results. ... See full document
11
On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...Recently, complete convergence for arrays of rowwise dependent random ... See full document
12
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