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相依序列均值和方差变点的估计

王慧敏 贺兴时 赵文芝

纺织高校基础科学学报2017,Vol.30Issue(2):220-225,6.
纺织高校基础科学学报2017,Vol.30Issue(2):220-225,6.DOI:10.13338/j.issn.1006-8341.2017.02.010

相依序列均值和方差变点的估计

Estimation on mean-variance change-point ofdependent sequence

王慧敏 1贺兴时 2赵文芝1

作者信息

  • 1. 西安工程大学 理学院,陕西 西安 710048
  • 2. 西北工业大学 理学院,陕西 西安 710072
  • 折叠

摘要

Abstract

The linear dependent sequences estimate problem of mean-variance change-points exist at the same times is studied by establishing the statistical model and constracting the CUSUM statistics of mean and variance change points are.Considering the effect of mean change point,by calculating the convergence speed of mean change point estimator,two different cases of variance change points of mean and the mean change point known and unknown are analyzed,and the convergence speed of variance change point estimators are also calculated.

关键词

相依序列/变点问题/CUSUM估计/收敛速度

Key words

dependent sequence/change-point problem/CUSUM estimation/rate of convergence

分类

数理科学

引用本文复制引用

王慧敏,贺兴时,赵文芝..相依序列均值和方差变点的估计[J].纺织高校基础科学学报,2017,30(2):220-225,6.

基金项目

国家自然科学基金青年科学基金资助项目(11201372) (11201372)

陕西省教育厅科研计划项目(2013JK0592) (2013JK0592)

纺织高校基础科学学报

OACSTPCD

1006-8341

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