Fitting Two‐Parameter Discrete Distributions to Many Data Sets with One Common Parameter

G. H. Freeman

Journal of the Royal Statistical Society Series C, 1980, vol. 29, issue 3, 259-267

Abstract: Methods based on minimum χ2 are proposed for fitting two‐parameter discrete distributions to many data sets with one common parameter. The distributions considered are the negative binomial, Neyman type A, and Polya‐Aeppli, all of which may arise when groups of individuals follow the Poisson distribution, but the individuals within the groups have their own distribution. For some data on soil pests it is found that the distribution of individuals within groups is the same over many data sets though the distribution of groups varies. Comparisons between the data sets are then facilitated.

Date: 1980
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