Affiliation of Author(s):航空学院
Journal:JOURNAL OF INEQUALITIES AND APPLICATIONS
Key Words:Multiple change points Linear processes under NSD Variance change CUSUM-type estimation Weak convergence rate
Abstract:This paper focuses on the issue of detecting the multiple change points for linear processes under negatively super-additive dependence (NSD). We propose a CUSUM-type method in the multiple variance change model and establish the weak convergence rate of the change points estimation. To carry out this method, we give a multiple variance-change iterative (MVCI) algorithm. Additionally, some simulations are implemented to substantiate the validity of the CUSUM-type method. Comparison with some best methods indicates that the CUSUM-type change point estimation is computationally competitive and superior in terms of the mean squared error (MSE).
ISSN No.:1029-242X
Translation or Not:no
Date of Publication:2019-08-15
Co-author:Yu, Yuncai,Liu, Ling,Zhao, Piao
Correspondence Author:Xinsheng Liu
Professor
Alma Mater:南京大学
Education Level:南京大学
Degree:Doctoral Degree in Science
School/Department:College of Aerospace Engineering
Discipline:Probability and Mathematical Statistics. Computational Mathematics. Mathematics
Business Address:明故宫校区9号楼413室
Contact Information:xsliu@nuaa.edu.cn
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