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New integrated view at partial-sums distributions

In: Tatra Mountains Mathematical Publications, vol. 51, no. 1
Gejza Wimmer - Ján Mačutek
Detaily:
Rok, strany: 2012, 183 - 190
Kľúčové slová:
partial-sums distribution, Poisson distribution, hypergeometric series
O článku:
Partial-sums discrete probability distributions occurred in description of many stochastic models. They were used also as a tool for creating new distributions, or as a link between known distributions. It is shown in this paper that every discrete distribution with only non-zero probabilities is a partial-sums distribution, and, moreover, that it has infinitely many parent distributions. The paper generalizes and unifies the concept of partial-sums distribution. Besides, it generalizes some risk models in insurance and revises some approaches to mathematical modelling in quantitative linguistics.
Ako citovať:
ISO 690:
Wimmer, G., Mačutek, J. 2012. New integrated view at partial-sums distributions. In Tatra Mountains Mathematical Publications, vol. 51, no.1, pp. 183-190. 1210-3195.

APA:
Wimmer, G., Mačutek, J. (2012). New integrated view at partial-sums distributions. Tatra Mountains Mathematical Publications, 51(1), 183-190. 1210-3195.