文章基本信息

标题：Limit Distribution of the &phi;-Divergence Based Change Point Estimator
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作者：Mwelu Susan ; Anthony G. Waititu ; Peter N. Mwita 等
期刊名称：Open Journal of Statistics
印刷版ISSN：2161-718X
电子版ISSN：2161-7198
出版年度：2021
卷号：11
期号：3
页码：337-350
DOI：10.4236/ojs.2021.113020
语种：English
出版社：Scientific Research Publishing
摘要：The assumption of stationarity is too restrictive especially for long time series. This paper studies the change point problem through a change point estimator based on the φ-divergence which provides a rich set of distance like measures between pairs of distributions. The change point problem is considered in the following sub-fields: the problem of divergence estimation, testing for the homogeneity between two samples as well as estimating the time of change. The asymptotic distribution of the change point estimator is estimated by the limiting distribution of a stochastic process within given bounds through asymptotic theory surrounding the likelihood theory. The distribution is found to converge to that of a standardized Brownian bridge process.
关键词：Change Point;φ-Divergence;Estimator;Test Statistic;Distribution;Wald