Characterization of discrete distributions using expected values |
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Authors: | J. M. Ruiz J. Navarro |
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Affiliation: | 1. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain 2. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain
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Abstract: | In this paper we study characterization problems for discrete distributions using the doubly truncated mean function m(xy)=E(h(X)|x≤X≤y), for a monotonic function h(x). We obtain the distribution function F(x) from m(x,y) and we give the necessary and sufficient conditions for any real function to be the doubly truncated mean function for a discrete distribution. |
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Keywords: | Characterization expected values mean residual life |
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