A Bayesian Decision Theoretic Characterization of Poisson Processes

A Bayesian decision theoretic methodology to characterize probability mechanisms for point processes is developed with particular reference to mixtures and conditional Poisson processes.

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Bibliographic Details
Published in:Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1991, Vol.53 (3), p.675-682
Main Authors: Polson, Nicholas G., Roberts, Gareth O.
Format: Article
Language:English
Subjects:
conditioned poisson process
Density
Entropy
entropy characterization
Euler Lagrange equation
Exact sciences and technology
Expected utility
Lagrange multipliers
Lebesgue measures
Mathematical theorems
Mathematics
Poisson process
Probability and statistics
Random variables
Sciences and techniques of general use
Statistics
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Description
Summary:A Bayesian decision theoretic methodology to characterize probability mechanisms for point processes is developed with particular reference to mixtures and conditional Poisson processes.
ISSN:0035-9246
1369-7412
2517-6161
1467-9868
DOI:10.1111/j.2517-6161.1991.tb01856.x