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AN EXTENDED KATZ’S DISTRIBUTION OBTAINED BY THE BETA TRANSFORMATION FOR THE COUNT DATA

In this paper, we introduce an extension of the Katz distribution constructed by the beta transformation. This is a new three-parameter distribution for the analysis and modeling of count data, which we call the new extended Katz distribution. We will study the new distribution from a probabilistic and statistical point of view. We perform a comparison study with an other extension of the Katz distribution with two methods: graphical and goodness-of-fit comparisons. For goodness-of-fit, we have considered the real data and the parameters are estimated by the maximum likelihood method.