[1]张立文,周秀轻.P阶自回归模型中的变点检验问题[J].南京师大学报(自然科学版),2010,33(02):13-17.
　Zhang Liwen,Zhou Xiuqing.Testing for Change-Point of the P-Order Autoregressive Time Series Model[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(02):13-17.
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P阶自回归模型中的变点检验问题()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年02期
页码:
13-17
栏目:
数学
出版日期:
2010-06-20

文章信息/Info

Title:
Testing for Change-Point of the P-Order Autoregressive Time Series Model
作者:
张立文;周秀轻;
南京师范大学数学科学学院, 江苏南京210097
Author(s):
Zhang Liwen; Zhou Xiuqing
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China
关键词:
变点;  自回归模型;  极大似然法;  最小二乘法
Keywords:
chang e-po int;  au to regress ive models;  them ax imum likelihood;  the least squares me thod
分类号:
O212.1
摘要:
变点问题是统计学中一个较新的课题.本文讨论了p阶自回归模型中的变点检验问题,对于自回归模型在模型的白噪声序列的方差σ 2未知的条件下,分别利用最大似然估计方法和最小二乘法给出了变点的检验统计量,并得到统计量的渐近分布,最后给出了证明.
Abstract:
Change-po int prob lem is a new top ic in the statistics. In th is paper, w e consider the change-point problem in the p-o rder autoregressive tim e ser ies m ode .l When the var iance σ2 is unknown, w e use them ax inum likelihood m ethod and the least squares estim a tion to g ive the test statistics and atta in the ir asym ptotic distributions for the change-po int. W e g iv e the ir proofs at last.

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10626028) . 通讯联系人: 周秀轻, 博士, 副教授, 研究方向: 生存分析和回归分析. E-mail:zhouxiuqing@ njnu. edu. cn
更新日期/Last Update: 2013-04-08