Strong Stability for Weighted Sums of ρ~-Mixing Random Variables

Article Preview

Abstract:

Some results on strong stability for weighted sums of ~½-mixingrandom variables and new strong laws of large numbers are presented, whichgeneralize the corresponding results of independent sequences.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 718-720)

Pages:

2103-2107

Citation:

Online since:

July 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] R. C. Bradley, On the spectral density and asymptotic normality of weakly dependent random fields[J]. J. Theoret. Probab. 5 (1992) 355--373.

DOI: 10.1007/bf01046741

Google Scholar

[2] W. Bryc, W. Smolenski, Moment conditions for almost sure convergence of weakly correlated random variables[J]. Proc. Amer. Math. Soc. 199 (1993) 629--635.

DOI: 10.1090/s0002-9939-1993-1149969-7

Google Scholar

[3] C. M. Goldie, P. E. Greenwood, Variance of set-indexed sums of mixing random variables and weak convergence of set-indexed processes[J]. Ann. Probab. 14 (1986) 817--839.

DOI: 10.1214/aop/1176992440

Google Scholar

[4] S. C. Yang, Some moment inequalities for partial sums of random variables and their applications[J]. Chinese Sci Bull, 43 (1998) 1823--1827(in Chinese).

Google Scholar

[5] Q. Y. Wu, Some convergence properties for ˜ρ-mixing sequences[J]. J. Engng. Math. 18 (2001) 58--64 (in Chinese).

Google Scholar

[6] Q. Y. Wu, Convergence for weighted sums of ˜ρ-mixing random sequences[J]. Math. Appl. 15 (2002) 1--4 (in Chinese).

Google Scholar

[7] M. Peligrad, A. Gut, Almost sure results for a class of dependent random variables[J]. J. Theoret. Probab. 12 (1999) 87--104.

Google Scholar

[8] S. X. Gan, Almost sure convergence for ˜ρ-mixing random variable sequences[J]. Statist. Probab. Lett. 67 (2004) 289--298.

DOI: 10.1016/j.spl.2003.12.011

Google Scholar

[9] Q. Y. Wu, Y. Y. Jiang, Some strong limit theorems for ˜ρ-mixing sequences of random variables[J]. Statist. Probab. Lett. 78 (2008) 1017--1023.

DOI: 10.1016/j.spl.2007.09.061

Google Scholar