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Inference on a Sharp Jump in Hazard Rate: A Review

Inference on a Sharp Jump in Hazard Rate: A Review Abstract The theory of change point analysis finds applications in diverse fields such as stock market analysis, industrial quality control and reliability studies. In some real life applications, abrupt changes in the hazard function are observed due to overhauls, major operations or specific maintenance activities. In such situations it is of interest to detect the location where such a change occurs and estimate the size of the change. In this expository paper we consider hazard models with a single jump in the hazard rate. We focus on inference problems concerning the change points. The approaches used by the different authors are critically examined. The models under parametric and non-parametric set ups are reviewed. Methods to handle censored data are also discussed. The use of different statistical techniques such as Weak Convergence Theory, TTT transform methods, Bayesian methods etc. are highlighted. Two examples using real life data sets illustrate the concepts. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Inference on a Sharp Jump in Hazard Rate: A Review

Economic Quality Control , Volume 24 (2) – Oct 1, 2009

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Publisher
de Gruyter
Copyright
Copyright © 2009 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/EQC.2009.213
Publisher site
See Article on Publisher Site

Abstract

Abstract The theory of change point analysis finds applications in diverse fields such as stock market analysis, industrial quality control and reliability studies. In some real life applications, abrupt changes in the hazard function are observed due to overhauls, major operations or specific maintenance activities. In such situations it is of interest to detect the location where such a change occurs and estimate the size of the change. In this expository paper we consider hazard models with a single jump in the hazard rate. We focus on inference problems concerning the change points. The approaches used by the different authors are critically examined. The models under parametric and non-parametric set ups are reviewed. Methods to handle censored data are also discussed. The use of different statistical techniques such as Weak Convergence Theory, TTT transform methods, Bayesian methods etc. are highlighted. Two examples using real life data sets illustrate the concepts.

Journal

Economic Quality Controlde Gruyter

Published: Oct 1, 2009

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