Natural Exponential Families with Polynomial Variance Function and Umbral Calculus
نویسنده
چکیده
In this paper we use the Umbral Calculus to investigate the relation between natural exponential families and Sheeer polynomials. We give a new proof for the classiication of univariate natural exponential families with quadratic variance function. We also show how our methods apply to natural exponential families with variance function of any order and to multivariate natural exponential families.
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تاریخ انتشار 1995