On discrete distributions of orderk
Copyright policy )On discrete distributions of orderk
The class of discrete distributions of order k is defined as the class of the generalized discrete distributions with generalizer a discrete distribution truncated at zero and from the right away from \(k+1\). The probability function and factorial moments of these distributions are expressed in terms of the (right) truncated Bell (partition) polynomials and several special cases are briefly examined. Finally a Poisson process of order k, leading in particular to the Poisson distribution of order k, is discussed.
generalized negative binomial distribution, factorial moments, truncated Bell polynomials, reliability models, discrete distributions, Characterization and structure theory of statistical distributions, Probability distributions: general theory
generalized negative binomial distribution, factorial moments, truncated Bell polynomials, reliability models, discrete distributions, Characterization and structure theory of statistical distributions, Probability distributions: general theory
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