行ρ-混合阵列加权和最大值的完全收敛性

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Complete Convergence for Weighted Sums of Arraysof Rowwise ρ-Mixing Random Variables

HU Zhicai¹, JIA Xiuli¹, WANG Zhenhua²

1. Department of Basic Course, Jilin Business and Technology College, Changchun 130062, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2013-04-21 Online:2014-01-26 Published:2014-03-05
Contact: HU Zhicai E-mail:huzhicai2013@sina.com

Abstract

Abstract:

A complete convergence theorem for maximum of weighted sums of arrays of rowwise ρ-mixing random variables was established by the Rosenthal type maximal inequality for ρ- mixing random variables, and then a Marcinkiewicz\|Zygmund type strong law of large numbers for maximum of weighted sums of ρ- mixing random variables was obtained based on the above theorem.

Key words: arrays of rowwise ρ-mixing random variables, complete convergence, weighted sums, MarcinkiewiczZygmund type strong law of large numbers

CLC Number:

O211.4

HU Zhicai, JIA Xiuli, WANG Zhenhua. Complete Convergence for Weighted Sums of Arraysof Rowwise ρ-Mixing Random Variables[J].Journal of Jilin University Science Edition, 2014, 52(01): 51-55.

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Complete Convergence for Weighted Sums of Arraysof Rowwise ρ-Mixing Random Variables

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