Complete convergence of weighted sums for arrays of rowwise φ-mixing random variables.

Autor:	Wang, Xinghui
Další autoři:	Li, Xiaoqin Hu, Shuhe
Jazyk:	angličtina
Předmět:	matematická analýza mathematical analysis články journal articles complete convergence φ-mixing sequence Marcinkiewicz-Zygmund type strong law of large numbers
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise $\varphi$-mixing random variables, and the Baum-Katz-type result for arrays of rowwise $\varphi$-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of $\varphi$-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink