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[PDF] Top 20 Stability for randomly weighted sums of random elements

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Stability for randomly weighted sums of random elements

Stability for randomly weighted sums of random elements

... A random element is defined to be an F-measurable mapping of Ω into B with the Borel σ ...independent random elements is a direct extension of the concept of independent random ...of ... See full document

10

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 random vari- ables which are randomly ...of randomly weighted sums of independent random elements in Banach spaces; Thanh et ...the randomly weighted ... See full document

13

Complete moment convergence for randomly weighted sums of martingale differences

Complete moment convergence for randomly weighted sums of martingale differences

... for randomly weighted sums of independent random elements in Banach ...for randomly weighted sums of dependent random ...for randomly weighted ... 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

... nonnegative random variable, we investigate the randomly weighted sums of martingale differences under some weakly ...ρ-mixing random variables to the case of randomly ... See full document

13

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

... In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference ... See full document

16

Large deviations for randomly weighted sums with dominantly varying tails and widely orthant dependent structure

Large deviations for randomly weighted sums with dominantly varying tails and widely orthant dependent structure

... where  < a ≤ b < ∞ . { N(t), t ≥  } denotes a counting process (that is, a non-negative, non-decreasing, and integer-valued stochastic process) with a finite mean function λ(t) for t ≥  and λ(t) → ∞ as t → ∞. ... See full document

16

Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability

Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability

... 10. Ordóñez Cabrera, M, Rosalsky, A, Volodin, A: Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables. ... See full document

9

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

Convergence in mean of weighted sums of {ank} compactly uniformly integrable random elements in Banach spaces

Convergence in mean of weighted sums of {ank} compactly uniformly integrable random elements in Banach spaces

... KEYWORDS AND PHRASES: Weighted sums, random elements in separable Banach spaces, compactly uniform integrability, {,,, }-compactly uniform integra.bility, tightness, {an, }uniform integr[r] ... See full document

8

On the almost sure convergence of weighted sums of random elements in D[0,1]

On the almost sure convergence of weighted sums of random elements in D[0,1]

... Taylor 1979 in that not only is convergence in the Skorohod topology replaced by convergence in the uniform norm but the restrictive condition of convex tightness is replaced by property[r] ... See full document

8

Complete convergence for weighted sums of arrays of random elements

Complete convergence for weighted sums of arrays of random elements

... In this section the complete convergence of weighted sums will be established for random elements in a Banach space which has a Schauder basis... Since the con-.[r] ... See full document

11

Strong stability of weighted sums of NA random variables

Strong stability of weighted sums of NA random variables

... NA random variables have wide application in reliability theory and multivariate statistical ...NA random variables have received more and more atten- tion in recent ...NA random variables have ... See full document

11

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

... The main purpose of the paper is to introduce some new concepts of conditional residual h-integrability. Based on these conditions, we study the conditional mean convergence and conditional almost sure convergence for ... See full document

11

Strong laws of large numbers for weighted sums of random elements in normed linear spaces

Strong laws of large numbers for weighted sums of random elements in normed linear spaces

... STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF RANDOM ELEMENTS IN NORMED LINEAR SPACES ANDRE ADLER.. Department of Mathematics Illinois Institute of Technology Chicago, Illinois 60616[r] ... See full document

23

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

... for weighted sums of NSD random ...maximum weighted sums of NSD random variables are obtained without the assumption of an identical ...for weighted sums of NSD ... See full document

14

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

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

... a random sample are weighted sums of independent and identically distributed random ...these weighted sums have demonstrated significant progress in probability theory with ... 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

... conditions of complete convergence for weighted sums of PNQD random variables are obtained. Our results generalize and improve those on complete convergence theorems previously obtained by Baum and ... See full document

7

Complete convergence for negatively orthant dependent random variables

Complete convergence for negatively orthant dependent random variables

... In this paper, necessary and sufficient conditions of the complete convergence are obtained for the maximum partial sums of negatively orthant dependent (NOD) random variables. The results extend and improve ... See full document

12

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 and improve ... See full document

11

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

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

... partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...partial sums and weighted sums of negatively dependent and negatively ... See full document

6

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