Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)

假设{X,Xn; n≥1}为平稳的负相伴随机变量序列.对其矩完全收敛的精确渐近性进行讨论.令EX1=0,E|X1 |3<∞,且满足相应的条件.记Sn=X1+X2 +…+ Xn,n≥1,.若E|X|r<∞,1<p<2,r>1+p/2,成立,其中N为标准正态随机变量。

Bibliographic Details
Main Authors: JIANGYe(蒋), ZHANGLi-xin(张立新)
Format: Article
Language:zho
Published: Zhejiang University Press 2005-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2005.32.5.490-493
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author JIANGYe(蒋)
ZHANGLi-xin(张立新)
author_facet JIANGYe(蒋)
ZHANGLi-xin(张立新)
author_sort JIANGYe(蒋)
collection DOAJ
description 假设{X,Xn; n≥1}为平稳的负相伴随机变量序列.对其矩完全收敛的精确渐近性进行讨论.令EX1=0,E|X1 |3<∞,且满足相应的条件.记Sn=X1+X2 +…+ Xn,n≥1,.若E|X|r<∞,1<p<2,r>1+p/2,成立,其中N为标准正态随机变量。
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spelling doaj.art-1a3ed78168004df98b4a73cb567a50762024-03-29T01:58:22ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972005-09-01325490493zjup/1008-9497.2005.32.5.490-493Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)JIANGYe(蒋)0ZHANGLi-xin(张立新)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系,浙江 杭州 310028) 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系,浙江 杭州 310028)假设{X,Xn; n≥1}为平稳的负相伴随机变量序列.对其矩完全收敛的精确渐近性进行讨论.令EX1=0,E|X1 |3<∞,且满足相应的条件.记Sn=X1+X2 +…+ Xn,n≥1,.若E|X|r<∞,1<p<2,r>1+p/2,成立,其中N为标准正态随机变量。https://doi.org/zjup/1008-9497.2005.32.5.490-493矩完全收敛性负相伴随机变量精确渐近性
spellingShingle JIANGYe(蒋)
ZHANGLi-xin(张立新)
Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
Zhejiang Daxue xuebao. Lixue ban
矩完全收敛性
负相伴随机变量
精确渐近性
title Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
title_full Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
title_fullStr Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
title_full_unstemmed Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
title_short Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
title_sort precise asymptotics in the complete moment convergence of na sequence 负相伴随机变量序列矩完全收敛的精确渐近性
topic 矩完全收敛性
负相伴随机变量
精确渐近性
url https://doi.org/zjup/1008-9497.2005.32.5.490-493
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