[PDF] Top 20 On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
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On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... Remark 2.3. Theorem 2.1 firstly gives the condition of the mixing coefficient, so the conditions a–c do not contain the mixing coefficient. Thus, the conditions a–c are obviously simpler than the conditions ... See full document
12
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
Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables
... ρ-mixing random variables were introduced by Bradley [] and many applications have been found. ρ-mixing is similar to ˜ ρ-mixing, but both are quite different. Many authors have ... See full document
14
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... wide applications of ND random variables, the notions of ND random variables have received more and more attention ...independent variables to the case of ND variables is ... See full document
10
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... ANA random variables is NA if and only if ρ – () = . So, ANA random variables include ρ-mixing and NA random ˜ ...limit convergence properties for ANA random ... See full document
13
Strong convergence results for arrays of rowwise pairwise NQD random variables
... (i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...the complete convergence for partial sums and weighted sums of random ...the ... See full document
8
Some strong convergence properties for arrays of rowwise ANA random variables
... some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random ... See full document
16
Complete moment convergence for moving average process generated by \(\rho^{ }\) mixing random variables
... -mixing random variables include NA and ρ ∗ -mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a ... See full document
13
Complete q th moment convergence for arrays of random variables
... The complete qth moment convergence for dependent random variables was estab- lished by many ...ϕ-mixing random variables. Zhou and Lin [] established complete qth ... See full document
11
A note on the complete convergence for arrays of dependent random variables
... A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et ...zero random variables by Chen et ...obtain ... See full document
8
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
Complete moment convergence for randomly weighted sums of martingale differences
... ϕ-mixing random variables and gave its application to the complete convergence for this stochastic process; Yu [] ob- tained the complete convergence for weighted ... See full document
13
On the complete convergence for arrays of rowwise ψ mixing random variables
... Clearly, from the definition above, we know that the independence implies ψ -mixture and ϕ-mixture. It is easily seen that the ψ-mixing condition is stronger than the ϕ-mixing. Therefore, the family of ψ ... See full document
9
A note on the complete convergence for weighted sums of negatively dependent random variables
... The 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
On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables
... In this work, we improve Theorem A from complete convergence to complete moment convergence for PNQD random variables under some stronger conditions. In addition, we obtain some ... See full document
14
Some strong limit theorems for arrays of rowwise negatively orthant dependent random variables
... NOD random variables have been established by many ...sure convergence, Amini and Bozorgnia [10,11], Kuczmaszewska [12], Taylor et ...for complete convergence, and so ... See full document
10
Complete convergence and complete moment convergence for a class of random variables
... the complete convergence and complete moment convergence and obtain the equivalence of the complete convergence and complete moment convergence for the class of ... See full document
12
Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
... n ≥ 1 a degenerate mean convergence result for normed and centered row sums. In con- tradistinction to Theorems 3.1 and 3.2, weighted averages and stochastic domination play no role in Theorem 3.3. As in Theorems ... See full document
14
Complete Convergence and Weak Law of Large Numbers for ρ Mixing Sequences of Random Variables
... A number of writers have studied -mixing se- quences of random variables and a series of useful results have been established. We refer to [2] for the central limit theorem [1,3], for moment ... See full document
7
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 ...dependent ... See full document
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