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

Xinghui Wang; Xiaoqin Li; Shuhe Hu

Applications of Mathematics (2014)

  • Volume: 59, Issue: 5, page 589-607
  • ISSN: 0862-7940

Abstract

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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise ϕ -mixing random variables, and the Baum-Katz-type result for arrays of rowwise ϕ -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of ϕ -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).

How to cite

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Wang, Xinghui, Li, Xiaoqin, and Hu, Shuhe. "Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables." Applications of Mathematics 59.5 (2014): 589-607. <http://eudml.org/doc/261974>.

@article{Wang2014,
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).},
author = {Wang, Xinghui, Li, Xiaoqin, Hu, Shuhe},
journal = {Applications of Mathematics},
keywords = {complete convergence; $\varphi $-mixing sequence; Marcinkiewicz-Zygmund type strong law of large numbers; -mixing sequence; complete convergence; Marcinkiewicz-Zygmund strong law of large numbers},
language = {eng},
number = {5},
pages = {589-607},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables},
url = {http://eudml.org/doc/261974},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Wang, Xinghui
AU - Li, Xiaoqin
AU - Hu, Shuhe
TI - Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 5
SP - 589
EP - 607
AB - 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).
LA - eng
KW - complete convergence; $\varphi $-mixing sequence; Marcinkiewicz-Zygmund type strong law of large numbers; -mixing sequence; complete convergence; Marcinkiewicz-Zygmund strong law of large numbers
UR - http://eudml.org/doc/261974
ER -

References

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