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In this paper, an alternative count distribution suitable for modeling overdispersed, zero vertex unimodality and monotonically decreasing data sets.Though the proposed probability model includes Gauss Hypergeometric specialfunction, it possesses simple and closed expressions for various distributionalcharacteristics. An application to count regression modeling using a well-knowndata set from the National Medical Expenditure Survey is discussed byconsidering the length of stay in hospitalization as a dependent variable andfollowing the proposed count model. We compare our result with the classicalNegative Binomial regression model and recently proposed Uniform Poissonregression model.

A New Count Regression Model including Gauss Hypergeometric Function with an application to model demand of health services