Ramesh, N. I. ORCID: https://orcid.org/0000-0001-6373-2557 (1995) Statistical analysis on Markov-modulated Poisson processes. Environmetrics, 6 (2). pp. 165-179. ISSN 1180-4009 (Print), 1099-095X (Online) (doi:10.1002/env.3170060207)

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Abstract

A class of doubly stochastic Poisson processes, which is termed a Markov-modulated Poisson process, is studied. The maximum likelihood method is used to make inferences about the Markov-modulated Poisson process. Expressions are derived for the likelihood function and for second-order properties of both counts and intervals. A simple two-state model is applied to a set of exposure data and to simulated data. Bivariate generalization of this process is also studied.

Item Type:	Article
Uncontrolled Keywords:	Conditional intensity; Doubly stochastic Poisson process; maximum likelihood; Point process; Spectral density
Subjects:	Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:08
URI:	http://gala.gre.ac.uk/id/eprint/18021

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