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线性过程方差变点的平方累计和SCUSUM估计(英文)
引用本文:赵文芝,夏志明.线性过程方差变点的平方累计和SCUSUM估计(英文)[J].数学季刊,2011(2):170-173.
作者姓名:赵文芝  夏志明
作者单位:School of Science;Xi'an Polytechnic University;Department of Mathematics;Northwest University;
基金项目:Supported by Foundation of Education Department of Shaanxi Provincial Government(2010JK561); Supported by Basic Research Foundation of Xi’an Polytechnic University(2010JC07); Supported by the Special Funds of the National Natural Science Foundation of China(11026135); Supported by Chinese Ministry of Education Funds for Young Scientists(10YJC910007)
摘    要:This paper considers the estimation problem of a variance change-point in linear process.Consistency of a SCUSUM type change-point estimator is proved and its rate of convergence is established.The mean-unknown case is also considered.

关 键 词:variance  change  point  linear  process  rate  of  convergence

The SCUSUM Estimation of Variance Change Point in Linear Process
ZHAO Wen-zhi,XIA Zhi-ming.The SCUSUM Estimation of Variance Change Point in Linear Process[J].Chinese Quarterly Journal of Mathematics,2011(2):170-173.
Authors:ZHAO Wen-zhi  XIA Zhi-ming
Institution:ZHAO Wen-zhi1,XIA Zhi-ming2(1.School of Science,Xi'an Polytechnic University,Xi'an 710048,China,2.Department of Mathematics,Northwest University,Xi'an 710069,China)
Abstract:This paper considers the estimation problem of a variance change-point in linear process.Consistency of a SCUSUM type change-point estimator is proved and its rate of convergence is established.The mean-unknown case is also considered.
Keywords:variance change point  linear process  rate of convergence  
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