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Probabilities and moments of generalized discrete distributfons using finite difference operators
Authors:Ch A. Charalambides
Affiliation:Statistical Unit , University of Athens Panepistemiopolis , Athens, 157 00, Greece
Abstract:The probabilities and factorial moments of the univar iate and multivariate generalized (or compound) discrete di st r-Lbut Lons with probability generating functions H(t)=F(G(t)) and H(t1,…,tk)=F(G(t1,…,tk))or H(t1,…,tk) = F(G1(t1),…, Gk( tk)) are derived using finite difference operators.
Keywords:Univariate generalized discrete distributions  Multivariate generalized discrete distributions  finite differences  Truncated distributions  Bounds on moments
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