Geodesic
Incomplete moments of the inverse Pólya distribution
Mathematica Applicanda, Tome 10 (1982) no. 20, pp. 47-58.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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 result they derive the complete factorial moments and recurrence relations between incomplete and complete factorial moments as well as between incomplete factorial moments of different orders. These results are demonstrated for special inverse Polya distributions: the inverse Polya distribution connected with Polya trials, the negative binomial distribution, the inverse hypergeometric distribution, and the geometric distribution. MR0707818
DOI : 10.14708/ma.v10i20.1454
Classification : 62E15
Mots-clés : Exact distribution theory 
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Tadeusz Gerstenkorn; Joanna Jarzębska. Incomplete moments of the inverse Pólya distribution. Mathematica Applicanda, Tome 10 (1982) no. 20, pp.  47-58. doi : 10.14708/ma.v10i20.1454. http://geodesic.mathdoc.fr/articles/10.14708/ma.v10i20.1454/

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