Publication details

New integrated view at partial-sums distributions

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.
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