New integrated view at partial-sums distributions

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Authors	WIMMER Gejza MAČUTEK Ján
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Tatra Mountais Mathematical Publications
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.2478/v10127-012-0018-8
Field	Applied statistics, operation research
Keywords	partial-sums distributions; Poisson distribution; hypergeometric series
Description	It is shown 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.
Related projects:	Jaroslav Hájek Center for Theoretical and Applied Statistics