Title
Filtering and change point estimation for hidden Markov-modulated Poisson processes.
Abstract
A continuous-time Markov chain which is partially observed in Poisson noise is considered, where a structural change in the dynamics of the hidden process occurs at a random change point. Filtering and change point estimation of the model is discussed. Closed-form recursive estimates of the conditional distribution of the hidden process and the random change point are obtained, given the Poisson process observations
Year
DOI
Venue
2014
10.1016/j.aml.2013.10.001
Applied Mathematics Letters
Keywords
Field
DocType
Continuous-time hidden Markov chain,Poisson processes,Reference probability approach,Filtering,Change-point estimation
Statistical physics,Conditional probability distribution,Mathematical analysis,Markov chain,Poisson distribution,Statistics,Hidden Markov model,Shot noise,Mathematics,Compound Poisson process,Hidden semi-Markov model,Markov renewal process
Journal
Volume
ISSN
Citations 
28
0893-9659
3
PageRank 
References 
Authors
0.45
1
2
Name
Order
Citations
PageRank
Robert J. Elliott133350.13
Tak Kuen Siu211420.25