U-Statistic Based Modified Information Criterion for Change Point Problems

DOI10.1080/03610920801983185zbMath1169.62035OpenAlexW2165034674MaRDI QIDQ3532757

Jiahua Chen, Jianmin Pan

Publication date: 28 October 2008

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920801983185

zbMATH Keywords

tablesconsistencylimiting distributionnonparametric model\(U\)-statisticchange pointmodel complexity

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

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Cites Work

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• A limit theorem for the maximum of normalized sums of independent random variables
• An improved Akaike information criterion for state-space model selection
• Invariance principles for changepoint problems
• On the invariance principle for U-statistics
• Estimating the dimension of a model
• A test for a change in a parameter occurring at an unknown point
• Testing and estimating change-points in time series
• Use of Cumulative Sums of Squares for Retrospective Detection of Changes of Variance
• Generalised information criteria in model selection
• On the Cusum test for parameter changes in garch(1,1) Models
• Bayesian Information Criterion for Censored Survival Models
• The Cusum of Squares Test for Scale Changes in Infinite Order Moving Average Processes
• Inference about the change-point from cumulative sum tests
• \(U\)-statistics for change under alternatives
• \(U\)-statistics for sequential change detection.