Parametric Statistical Change Point Analysis: With Applications to Genetics, Medicine, and Finance

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This revised and expanded second edition is an in-depth study of the change point problem from a general point of view, as well as a further examination of change point analysis of the most commonly used statistical models. Change point problems are encountered in such disciplines as economics, finance, medicine, psychology, signal processing, and geology, to mention only several. More recently, change point analysis has been found in extensive applications related to analyzing biomedical imaging data, array Comparative Genomic Hybridization (aCGH) data, and gene expression data.

The exposition throughout the work is clear and systematic, with a great deal of introductory material included. Different models are presented in each chapter, including gamma and exponential models, rarely examined thus far in the literature. Extensive examples throughout the text emphasize key concepts and different methodologies used, namely the likelihood ratio criterion as well as the Bayesian and information criterion approaches. New examples of change point analysis in modern molecular biology and other fields such as finance and air traffic control are added in this second edition. Also included are two new chapters on change points in the hazard function and other practical change point models such as the epidemic change point model and a smooth-and-abrupt change point model. An up-to-date comprehensive bibliography and two indices round out the work.

Author(s): Jie Chen, Arjun K. Gupta (auth.)
Edition: 2
Publisher: Birkhäuser Basel
Year: 2012

Language: English
Pages: 273
Tags: Statistical Theory and Methods; Statistics for Life Sciences, Medicine, Health Sciences; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Statistics for Business/Economics/Mathematical Finance/Insurance

Front Matter....Pages i-xiii
Preliminaries....Pages 1-5
Univariate Normal Model....Pages 7-88
Multivariate Normal Model....Pages 89-138
Regression Models....Pages 139-154
Gamma Model....Pages 155-172
Exponential Model....Pages 173-187
Change Point Model for Hazard Function....Pages 189-197
Discrete Models....Pages 199-214
Other Change Point Models....Pages 215-255
Back Matter....Pages 257-273