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[PDF] Top 20 Strong convergence properties for ψ mixing random variables

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Strong convergence properties for ψ mixing random variables

Strong convergence properties for ψ mixing random variables

... of ψ -mixing random variables was introduced by Blum et ...for strong law of large num- bers, Yang [] for almost sure convergence of weighted sums, Wu [] for strong ... See full document

14

Some Strong Limit Theorems for Weighted Product Sums of  Mixing Sequences of Random Variables

Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables

... ρ-mixing random variables sequences and a series of useful results have been ...the strong law of large numbers, Wu 5, 6, Wu and Jiang 7, Peligrad and Gut 8, and Gan 9 for almost sure ... See full document

10

Strong convergence results for arrays of rowwise pairwise NQD random variables

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 special ... See full document

8

Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables

Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables

... ρ-mixing random variables under mild ...type strong law of large numbers for sequences of ρ-mixing random variables ˜ is ...complete convergence for weighted sums ... See full document

14

Complete Convergence and Weak Law of Large Numbers for  ρ Mixing Sequences of Random Variables

Complete Convergence and Weak Law of Large Numbers for ρ Mixing Sequences of Random Variables

... [7] Q. Y. Wu, “Further Study Strong Consistency of Estima- tor in Linear Model for   -Mixing Random Samples,” Journal of Systems Science and Complexity, Vol. 24, No. 5, 2011, pp. 969-980. ... See full document

7

On the strong convergence for weighted sums of negatively superadditive dependent random variables

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

14

Complete moment convergence for moving average process generated by \(\rho^{ }\) mixing random variables

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

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

... strongly mixing sequences. Most of the attention is devoted to the case of random variables with common distribution in the domain of attraction of the normal distri- bution and tail index γ ∈ (0, ... See full document

14

A note on the complete convergence for sequences of pairwise NQD random variables

A note on the complete convergence for sequences of pairwise NQD random variables

... NQD random variables is a family of very wide scope, which contains sequences of pairwise independent random ...dom variables and negatively associated (NA) [2] random variables ... See full document

8

On the convergence rates of kernel estimator and hazard estimator for widely dependent samples

On the convergence rates of kernel estimator and hazard estimator for widely dependent samples

... from strong mixing and negatively associated random vari- ables, widely orthant dependence random variables (defined below) were introduced by Wang and Cheng ([6], ...dependent ... See full document

10

An almost sure central limit theorem of products of partial sums for ρ  mixing sequences

An almost sure central limit theorem of products of partial sums for ρ mixing sequences

... -mixing random variables include NA and r*-mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a lot ... See full document

13

On the complete convergence for arrays of rowwise ψ mixing random variables

On the complete convergence for arrays of rowwise ψ mixing random variables

... implies ψ -mixture and ϕ-mixture. It is easily seen that the ψ-mixing condition is stronger than the ...of ψ -mixing is a special case of ...the convergence properties of ... See full document

9

Strong convergence results for weighted sums of ρ˜ mixing random variables

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 ...complete convergence, Peligrad [] for invariance principle, Wu and Jiang [] for ... See full document

11

On the Strong Laws for Weighted Sums of  Mixing Random Variables

On the Strong Laws for Weighted Sums of Mixing Random Variables

... the strong law of large numbers, Wu 4, 5, Peligrad and Gut 6, and Gan 7 have studied almost sure convergence, Utev and Peligrad 8 have established maximal inequalities and the invariance principle, An and ... See full document

8

Some strong convergence properties for arrays of rowwise ANA random variables

Some strong convergence properties for arrays of rowwise ANA random variables

... Hence, from (.), one can clearly know that the complete moment convergence im- plies the complete convergence. Compared with the corresponding results of Gan and Chen [] and Zhu [], it is worth ... See full document

16

Uniform convergence of estimator for nonparametric regression with dependent data

Uniform convergence of estimator for nonparametric regression with dependent data

... a mixing dependent sample, Roussas et ...the strong convergence of sums of α-mixing random variables and gave its application to density estimation, Hansen [] obtained the ... See full document

12

Complete convergence and complete moment convergence for a class of random variables

Complete convergence and complete moment convergence for a class of random variables

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

12

On the weak law of large numbers for normed weighted sums of I I D  random variables

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

Dominated Convergence for Fuzzy Random
 Variables

Dominated Convergence for Fuzzy Random Variables

... fuzzy random variables was intro- duced by Kwakernaak (1978), who developed useful basic ...fuzzy random variables and expected value (these concept goes beyond those of Kwakernaak) for ... See full document

8

A note on convergence of weighted sums of random variables

A note on convergence of weighted sums of random variables

... Jamison, Orey and Pruitt [4] studied almost sure convergence of weighted sums under the assumption that the sequence Xn, n is independently identically distributed with.. One of the obje[r] ... See full document

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