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Nonparametric estimation in a two change-point model

B. Boukai and H. Zhou

Journal of Nonparametric Statistics, 1997, vol. 8, issue 3, 275-292

Abstract: In this paper we consider a change-point model which consists of two change points and a transition period in between. A nonparametric estimation procedure for the two unknown change points is proposed, based on the weighted Kolmogorov-Smirnov norm. The strong consistency of the resulting estimates is shown along with rate of convergence. Detailed technical proofs for the main results are given as well as results of a simulation study. The estimation procedure is exemplified on the well-known Coal-Mining data.

Date: 1997
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DOI: 10.1080/10485259708832725

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