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[PDF] Top 20 Complete convergence of randomly weighted END sequences and its application

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Complete convergence of randomly weighted END sequences and its application

Complete convergence of randomly weighted END sequences and its application

... then END random variables reduce to NOD random variables which contain NA random variables and NSD random variables (see Joag-Dev and Proschan [], Hu [] and Wang et ... See full document

16

On Complete Convergence for Arrays of Rowwise  Mixing Random Variables and Its Applications

On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications

... variables, complete convergence has been extensively investigated see, ...Recently, complete convergence for arrays of rowwise dependent random variables has been ...ρ-mixing sequences, ... See full document

12

Complete moment convergence of double indexed randomly weighted sums of mixing sequences

Complete moment convergence of double indexed randomly weighted sums of mixing sequences

... of complete convergence, it has been an important basic tool to study the convergence in probability and ...the complete convergence of Hsu and Robbins [], Chow [] first investigated ... See full document

13

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

... an application, the Baum-Katz type result for weighted sums of extended negatively dependent random variables is established under sub-linear expectations ...the complete convergence and ... See full document

14

Theorems of complete convergence and complete integral convergence for END random variables under sub linear expectations

Theorems of complete convergence and complete integral convergence for END random variables under sub linear expectations

... Classical probability theorems were widely used in many fields, which only hold on some occasions of model certainty. However, there are uncertainties, such as measures of risk, non-linear stochastic calculus and ... See full document

17

The moment of maximum normed randomly weighted sums of martingale differences

The moment of maximum normed randomly weighted sums of martingale differences

... hand, 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

Complete moment convergence for randomly weighted sums of martingale differences

Complete moment convergence for randomly weighted sums of martingale differences

... gave its application to the complete convergence for this stochastic process; Yu [] ob- tained the complete convergence for weighted sums of martingale differences; Ghosal ... See full document

13

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

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

... In this paper, the author studies the complete convergence results for Sung’s type weighted sums of sequences of END random variables and obtains some new results. These results extend ... See full document

11

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

... Many dependent sequences satisfy the Rosenthal type inequality. We refer to Shao [] for a negatively associated sequence; Utev and Peligrad [] for a ρ-mixing sequence; Shen ˜ [] and Stout [] for an ... See full document

12

Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

... for weighted sums of extended negatively depen- dent (END) random variable sequence was investigated by Shen et ...type convergence rate in the Marcinkiewicz–Zygmund strong law for ... See full document

16

Conditional convergence for randomly weighted sums of random variables based on conditional residual h integrability

Conditional convergence for randomly weighted sums of random variables based on conditional residual h integrability

... Chandra and Goswami [] introduced the concept of Cesàro α -integrability (α > ) and showed that Cesàro α-integrability for any α >  is weaker than Cesàro uniform integra- bility. Under the condition of Cesàro ... See full document

11

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

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

... strong convergence properties of Jamison weighted sums, the three series theorem and complete convergence theorem; and Li and Wang [] ob- tained the central limit ...Katz-type complete ... See full document

7

The complete convergence for weighted sums of dependent random fields

The complete convergence for weighted sums of dependent random fields

... the convergence rates in the law of iterated logarithm and the Rosenthal maximal inequality for identically distributed random variables; Li [] for the convergence rates in the law of iterated ... See full document

8

Complete convergence for B valued Lp mixingale sequences

Complete convergence for B valued Lp mixingale sequences

... discussed the complete convergence for B-valued independent random elements.Yu[ll] ha co,sidered the complete convergence for martingale difference sequences, PeligradI7 and Shao[S} have[r] ... See full document

6

Complete Convergence for Negatively Dependent Sequences of Random Variables

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

Some convergence properties for weighted sums of pairwise NQD sequences

Some convergence properties for weighted sums of pairwise NQD sequences

... NQD sequences are discussed. Some strong convergence results for weighted sums of pairwise NQD sequences are obtained, which generalize the corresponding ones of Wang et ... See full document

8

On complete convergence for weighted sums of martingale difference random fields

On complete convergence for weighted sums of martingale difference random fields

... and Bhaskara Rao []) and M-estimates (see Rao and Zhao []) in linear models, the non- parametric regression estimators (see Priestley and Chao []), etc. So, the study of the limiting behavior of the weighted ... See full document

7

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

... paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non- identically distributed are ...for ... See full document

8

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

... The main purpose of this article is to discuss the complete convergence and the complete moment convergence for weighted sums of m-NA random variables. We shall extend The- orem B to ... See full document

14

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 ...variable sequences, there still remains much to be ... See full document

13

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