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Plausibility Inference for Generalized Poisson Distribution

✍ Scribed by F. Famoye; Prof. P. C. Consul


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
489 KB
Volume
30
Category
Article
ISSN
0323-3847

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✦ Synopsis


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 n d e d 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.


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This paper considers some approximations for the Borel-Tanner (Generalized Poisson) sums by using (i) Gram-Charlier Poisson expansion, (ii) Mixture of two Poisson distributions, (iii) Variance stabilizing technique, and (iv) negative binomial distribution. It has been found that the approximation ob