ARCH平方序列部分和的完全收敛性

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 601-606.

ARCH平方序列部分和的完全收敛性

Department of Mathematics, Shanxi Datong University

收稿日期:2007-03-09 出版日期:2010-12-30 发布日期:2023-05-19
作者简介:ZHANG Zhi-qiang(1969-), male, native of Datong, Shanxi, a lecturer of Shanxi Datong University, M.S.D., engages in probability theory and mathematical statistics; ZHANG Ri-quan(1967-), male, native of Zuoyun, Shanxi, a professor of Shanxi Datong University, Ph.D., engages in mathematical statistics.
基金资助:
Supported by Natural Science Foundation of Shanxi Province(2007011014)； Supported by Science Foundation of Shanxi Datong Unversity(2007K06)； Supported by 11-5 Program Fund of Shanxi Province(GH-09090)；

Complete Convergence for Partial Sums of the Squares of ARCH Sequence

Department of Mathematics, Shanxi Datong University

Received:2007-03-09 Online:2010-12-30 Published:2023-05-19
About author:ZHANG Zhi-qiang(1969-), male, native of Datong, Shanxi, a lecturer of Shanxi Datong University, M.S.D., engages in probability theory and mathematical statistics; ZHANG Ri-quan(1967-), male, native of Zuoyun, Shanxi, a professor of Shanxi Datong University, Ph.D., engages in mathematical statistics.
Supported by:
Supported by Natural Science Foundation of Shanxi Province(2007011014)； Supported by Science Foundation of Shanxi Datong Unversity(2007K06)； Supported by 11-5 Program Fund of Shanxi Province(GH-09090)；

摘要/Abstract

摘要： In this paper, we discuss the sufficient condition for complete convergence of partial sums of squares of the ARCH sequence, at the same time a moment inequality of maximum partial sums for squares of the ARCH sequence is proved.

关键词: ARCH, partial sums, complete convergence

Abstract: In this paper, we discuss the sufficient condition for complete convergence of partial sums of squares of the ARCH sequence, at the same time a moment inequality of maximum partial sums for squares of the ARCH sequence is proved.

Key words: ARCH, partial sums, complete convergence

中图分类号:

O211.61

张志强, 张日权, 冯井艳. ARCH平方序列部分和的完全收敛性[J]. 数学季刊, 2010, 25(4): 601-606.

ZHANG Zhi-qiang, ZHANG Ri-quan, FENG Jing-yan. Complete Convergence for Partial Sums of the Squares of ARCH Sequence [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 601-606.

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