φ混合序列加权和的完全收敛性

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

数学季刊 ›› 2017, Vol. 32 ›› Issue (2): 161-171.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.006

φ混合序列加权和的完全收敛性

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

收稿日期:2014-08-23 出版日期:2017-06-30 发布日期:2020-10-23
作者简介: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.
基金资助:
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)；

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

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

Received:2014-08-23 Online:2017-06-30 Published:2020-10-23
About author: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.
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)；

摘要/Abstract

摘要： 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.

关键词: weighted sums, \tilde{φ}-mixing sequence, complete convergence, strong law of large numbers

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

中图分类号:

O211.4

刘婷婷, 王学军, 王星惠. φ混合序列加权和的完全收敛性[J]. 数学季刊, 2017, 32(2): 161-171.

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.

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φ混合序列加权和的完全收敛性

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

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