Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)

关于一列独立同分布正随机变量部分和乘积的渐近性性质,已得出了一系列结果.本文把独立性推广到相依随机变量的情形,对一列强平稳平方可积的正ϕ-混合序列{Xn,n≥ 1}进行讨论,若满足则其部分和的乘积渐近对数正态.

Bibliographic Details
Main Author: HUXing(胡星)
Format: Article
Language:zho
Published: Zhejiang University Press 2006-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2006.33.3.255-259
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author HUXing(胡星)
author_facet HUXing(胡星)
author_sort HUXing(胡星)
collection DOAJ
description 关于一列独立同分布正随机变量部分和乘积的渐近性性质,已得出了一系列结果.本文把独立性推广到相依随机变量的情形,对一列强平稳平方可积的正ϕ-混合序列{Xn,n≥ 1}进行讨论,若满足则其部分和的乘积渐近对数正态.
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spelling doaj.art-d9522d52f534461394a94a843d926ece2024-03-29T01:58:23ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972006-05-01333255259zjup/1008-9497.2006.33.3.255-259Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)HUXing(胡星)0Department of Mathematics, Zhejiang University, Hangzhou 310027, China(浙江大学数学系,浙江 杭州 310027)关于一列独立同分布正随机变量部分和乘积的渐近性性质,已得出了一系列结果.本文把独立性推广到相依随机变量的情形,对一列强平稳平方可积的正ϕ-混合序列{Xn,n≥ 1}进行讨论,若满足则其部分和的乘积渐近对数正态.https://doi.org/zjup/1008-9497.2006.33.3.255-259对数正态部分和乘积ϕ-混合序列
spellingShingle HUXing(胡星)
Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
Zhejiang Daxue xuebao. Lixue ban
对数正态
部分和乘积
ϕ-混合序列
title Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
title_full Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
title_fullStr Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
title_full_unstemmed Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
title_short Asymptotic distribution of the product of ϕ-mixing sums(ϕ-混合序列部分和乘积的渐近正态性)
title_sort asymptotic distribution of the product of ϕ mixing sums ϕ 混合序列部分和乘积的渐近正态性
topic 对数正态
部分和乘积
ϕ-混合序列
url https://doi.org/zjup/1008-9497.2006.33.3.255-259
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