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Plausibility Inference for Generalized Poisson Distribution
Author(s) -
Famoye F.,
Consul P. C.
Publication year - 1988
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.4710300315
Subject(s) - poisson distribution , inference , mathematics , statistics , interval (graph theory) , statistical inference , generalized linear model , maximum likelihood , computer science , artificial intelligence , combinatorics
The two parameter generalized Poisson distribution (GPD) has been usefully applied to many biological and genetic problems and important interpretations have been given to both the parameters; however, reliable interval estimates for them are not available. A number of results on the plausibility inference for the GPD have been provided. Likelihood intervals and likelihood regions are also considered for the two parameters of the GPD. Expressions needed to compute the intervals and regions are given. These results are then applied to two biological problems to derive the relevant regions and intervals for the parameters of interest.