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Bayesian Estimation of the Distribution Function of the Poisson Model
Author(s) -
Howlader Hatem A.,
Balasooriya Uditha
Publication year - 2003
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200390057
Subject(s) - mathematics , conjugate prior , estimator , poisson distribution , laplace's method , bayes estimator , bayes' theorem , laplace transform , gamma distribution , laplace distribution , bayesian probability , statistics , mathematical analysis
This paper presents the Bayes estimators of the Poisson distribution function based on complete and truncated data under a natural conjugate prior. Laplace transform of the incomplete gamma function and the Gauss hypergeometric function have been employed in order to overcome the intractability of the integrals. Numerical examples from biosciences are given to illustrate the results. A Monte Carlo study has been carried out to compare Bayes estimators under complete data with the corresponding maximum liklihood estimators.