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[PDF] Top 20 On the complete convergence for weighted sums of a class of random variables

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On the complete convergence for weighted sums of a class of random variables

On the complete convergence for weighted sums of a class of random variables

... i.i.d. random variables, Hsu and Robbins [] proved that the sequence of arithmetic means of the random variables converges completely to the expected value if the variance of the summands is ... See full document

12

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

... provide complete convergence for weighted sums of arrays of row- wise ρ-mixing random ...˜ random variables are ... See full document

14

Complete convergence and complete moment convergence for weighted sums of m NA random variables

Complete convergence and complete moment convergence for weighted sums of m NA random variables

... NA random variables have been applied to the re- liability theory, multivariate statistical analysis and percolation ...NA random variables have been an attractive research topic in the recent ... See full document

14

Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables

Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables

... the complete convergence for partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...this convergence to partial sums ... See full document

6

Further study of complete convergence for weighted sums of PNQD random variables

Further study of complete convergence for weighted sums of PNQD random variables

... of complete convergence for weighted sums of PNQD random variables are ...on complete convergence theorems previously obtained by Baum and Katz ... See full document

7

Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation

Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation

... The complete convergence has a relatively complete development in probability limit ...of complete convergence was raised by Hsu and Robbins [], and Chow [] established ... See full document

14

Complete convergence for Sung’s type weighted sums of END random variables

Complete convergence for Sung’s type weighted sums of END random variables

... the complete convergence results for Sung’s type weighted sums of sequences of END random variables and obtains some new ... See full document

11

On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables

On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables

... A number of limit results for ρ ∗ -mixing sequences of random variables have been es- tablished by many authors. We refer to Bradley [3] for the central limit theorem, Bryc and Smolenski [4], Peligrad and ... See full document

16

A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

... (ND) random variables which obtained by Asadian et al., the complete convergence theorem for weighted sums of arrays of rowwise ND random variables is ...the ... See full document

10

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

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 ... See full document

12

A note on the complete convergence for weighted sums of negatively dependent random variables

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

A note on complete convergence of weighted sums for array of rowwise AANA random variables

A note on complete convergence of weighted sums for array of rowwise AANA random variables

... dependent. Hsu and Robbins [] proved that arithmetic means of independent and iden- tically distributed (i.i.d.) random variables converges completely to the expected value if the variance of the summands ... See full document

13

On Complete Convergence for Weighted Sums of  Mixing Random Variables

On Complete Convergence for Weighted Sums of Mixing Random Variables

... weak convergence of empirical processes, Shao 8 for almost sure invariance principles, Hu and Wang 9 for large deviations, and so ...independent random variable sequences, there still remains much to be ... See full document

13

The moment of maximum normed randomly weighted sums of martingale differences

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 ...and complete convergence of randomly weighted sums of independent random ele- ... See full document

13

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

... complete convergence of random variables is a very important tool in establishing almost sure ...concerning complete convergence for normed sums of random ... See full document

14

The complete convergence for weighted sums of dependent random fields

The complete convergence for weighted sums of dependent random fields

... distribution, random sampling without replacement, ...the class of negatively associated random variables is the only one among the different types of negative dependence which has the ... See full document

8

Complete convergence of randomly weighted END sequences and its application

Complete convergence of randomly weighted END sequences and its application

... END random variables, many researchers pay attention to the study of ...the complete convergence for END sequences; Wang et ...random variables. For example, Wang et al. [] ... See full document

16

Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables

Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables

... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ... See full document

15

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 ...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

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

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