Geometric dispersion models with real quadratic v-functions

Publication date: Available online 1 October 2018Source: Statistics & Probability LettersAuthor(s): Rahma Abid, Célestin C. Kokonendji, Afif MasmoudiAbstractGeometric dispersion models, characterized by their v-functions, are recently introduced arising from geometric sums of exponential dispersion models and they exhibit many potential applications. In this paper, we classify all the real quadratic v-functions. Up to affinity, there are only six types of such models with unbounded domain: asymmetric Laplace, geometric and the remaining four are obtained by the exponential mixtures of Poisson, gamma, negative binomial and generalized hyperbolic secant distributions. Further, we find the seventh one which is geometric hybrid distribution, purely a quadratic v-function on bounded domain and, classically steep as well as unbounded ones but not geometric-steep.

Source: Statistics and Probability Letters - October 4, 2018 Category: Statistics Source Type: research