## On discrete distributions of order k.(English)Zbl 0611.60016

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.

### MSC:

 6e+06 Probability distributions: general theory 6.2e+11 Characterization and structure theory of statistical distributions
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### References:

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