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A Nonparametric bootstrapped estimate of the change-point 

Author: B. Boukai a
Affiliation:   a Indiana University-Purdue University, Indianapolis
DOI: 10.1080/10485259308832576
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 3, Issue 2 1993 , pages 123 - 134
Formats available: PDF (English)
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Abstract

A bootstrap resampling scheme is applied to a nonparametric estimator of the change-point in a sequence of independent observations. The nonparametric estimator is based on the Kolmogorov-Smirnov norm as proposed by Carlstein (1988). The consistency of the bootstrapped estimator along with the rate of convergence are provided. In addition, an exponential bound for the error probability is shown to hold for all most all given realizations.
Keywords: Kolmogorov-Smirnov; empirical process
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