New integrated view at partial-sums distributions
Wimmer, Gejza ; Mačutek, Ján
Tatra Mountains Mathematical Publications, Tome 51 (2012), / Harvested from Mathematical Institute
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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. Itis shown in this paper that every discrete distribution with only non-zero probabilities is a partial-sumsdistribution, and, moreover, that it has innitely many parent distributions. The paper generalizes andunies the concept of partial-sums distributions. Besides, it generalizes some risk models in insuranceand revises some approaches to mathematical modelling in quantitative linguistics.Keywords: partial-sums distribution, Poisson distribution, hypergeometric series.

Publié le : 2012-01-01
DOI : https://doi.org/10.2478/tatra.v51i1.154 
@article{154,
     title = {New integrated view at partial-sums distributions},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {51},
     year = {2012},
     doi = {10.2478/tatra.v51i1.154},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/154}
}

Wimmer, Gejza; Mačutek, Ján. New integrated view at partial-sums distributions. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v51i1.154. http://gdmltest.u-ga.fr/item/154/