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The authors continue the study of incomplete moments of discrete distributions by Gerstenkorn [Rev. Roumaine Math. Pures Appl. 26 (1981), no. 3, 405–416; MR0627288; Bull. Inst. Internat. Statist. 46 (1975), no. 3, 290–297; MR0471020]. For a discrete nonnegative random variable X, the left incomplete factorial moment of order l truncated at s is defined by ∑sx=0x(x−1)⋯(x−(l−1))P(X=x). The authors evaluate the left incomplete factorial moments of the inverse Polya distribution (Theorem 1). From this...
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