JSM 2011 Online Program

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Abstract Details

Activity Number: 77
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301084
Title: Climate Periodically Isotonic Change Detection
Author(s): Gang Shen*+
Companies: North Dakota State University
Address: Dept of Statistics, Fargo, ND, 58104,
Keywords: change-point ; periodically isotonic ; U-statistic ; mixing ; nonparametric ; climatic
Abstract:

In a view of the past two millennia, is the recent 160-year global warmth an anomaly or a continuation of climate pattern? In this work, we present two non-parametric Chi-square tests based on the U-test by G. Shen for the periodically isotonic change-point problem, and apply to the global warming data. Our tests do not require any assumption on the structure of the underlying deterministic mean process under the alternative, or its estimate, and have explicit asymptotic distributions for some short-range dependence data. Even under local alternative, our test statistics have asymptotic test power 1.


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