Complete Convergence for Weighted Sums of \tilde{φ} -mixing Sequence

LIU Ting-ting, WANG Xue-jun, WANG Xing-hui

doi:10.13371/j.cnki.chin.q.j.m.2017.02.006

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 2: 161 - 171

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.006

Complete Convergence for Weighted Sums of \tilde{φ} -mixing Sequence

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1. Department of Finance and Economics, Hefei Economic and Trade Tourism School2. Department of Statistics, Anhui University

LIU Ting-ting(1987-), female, native of Luan, Anhui, an assistant of Hefei Economic and Trade Tourism School, M.S.D., engages in probability theory and mathmatical statistocs.

Received date: 2014-08-23

Online published: 2020-10-23

Supported by

Supported by the National Natural Science Foundation of China(11671012,11526033,11501004,11501005)； Supported by the Natural Science Foundation of Anhui Province(1608085QA02)； Supported by the Science Fund for Distinguished Young Scholars of Anhui Province(1508085J06)；

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Abstract

In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones of independent sequence with identical distribution to the case of φ-mixing sequence with different distribution.

Key words： weighted sums; \tilde{φ}-mixing sequence; complete convergence; strong law of large numbers

Cite this article

LIU Ting-ting, WANG Xue-jun, WANG Xing-hui . Complete Convergence for Weighted Sums of \tilde{φ} -mixing Sequence[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(2) : 161 -171 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.02.006

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