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A Comparison of Generalized Poisson Distribution for Modeling Chromosome Aberrations
Author(s) -
Lee Carl M.S.,
Famoye Felix
Publication year - 1996
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.4710380306
Subject(s) - poisson distribution , mathematics , statistics , chromosome , residual , poisson regression , distribution (mathematics) , mean squared error , algorithm , biology , mathematical analysis , genetics , medicine , population , gene , environmental health
Abstract Various models have been developed for modeling the distribution of chromosome aberrations in the literature (e. g. Consul, 1989). Generalized Poisson distribution is among the popular ones. The parameters of this distribution provide meaningful interpretation of the induction mechanism of the chromosome aberrations. In this article, we apply several estimation methods to estimate the generalized Poisson parameters for fitting the number of chromosome aberrations under different dosages of radiations. The methods compared are moment, maximum likelihood, minimum chi‐square, weighted discrepancy and empirically weighted rates of change. Our study suggests that the empirically weighted rates of change method results in smallest Mean Square Error and Mean Absolute Error for most dosages of radiations. The data used for this comparison are from Janardan and Schaeffer (1977).