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- W2894590939 abstract "Abstract Geometric 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 four remaining ones 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." @default.
- W2894590939 created "2018-10-12" @default.
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- W2894590939 date "2019-02-01" @default.
- W2894590939 modified "2023-09-25" @default.
- W2894590939 title "Geometric dispersion models with real quadratic v-functions" @default.
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- W2894590939 doi "https://doi.org/10.1016/j.spl.2018.09.010" @default.
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