Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 170-173.

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The SCUSUM Estimation of Variance Change Point in Linear Process

  

  1. 1. School of Science, Xi'an Polytechnic University2. Department of Mathematics, Northwest University

  • Received:2008-09-01 Online:2011-06-30 Published:2023-04-26
  • About author:ZHAO Wen-zhi(1979-), female, native of Ankang, Shannxi, Ph.D., engages in linear and nonlinear time series.
  • Supported by:
    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);

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.

Key words: variance change point, linear process, rate of convergence

CLC Number: