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September, 1992 A Log-Linear Model for a Poisson Process Change Point
Clive R. Loader
Ann. Statist. 20(3): 1391-1411 (September, 1992). DOI: 10.1214/aos/1176348774


Many methods have been proposed for modelling nonhomogeneous Poisson processes, including change point models and log-linear models. In this paper, we use likelihood ratio tests to choose which of these models are necessary. Of particular interest is the test for the presence of a change point, for which standard asymptotic theory is not valid. Large deviation methods are applied to approximate the significance level, and power approximations are given. Confidence regions for the change point and other parameters in the model are also derived. A British coal mining accident data set is used to illustrate the methodology.


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Clive R. Loader. "A Log-Linear Model for a Poisson Process Change Point." Ann. Statist. 20 (3) 1391 - 1411, September, 1992.


Published: September, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0781.62136
MathSciNet: MR1186255
Digital Object Identifier: 10.1214/aos/1176348774

Primary: 62M99
Secondary: 60G55, 62F03

Rights: Copyright © 1992 Institute of Mathematical Statistics


Vol.20 • No. 3 • September, 1992
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