New integrated view at partial-sums distributions
Authors | |
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Year of publication | 2012 |
Type | Article in Periodical |
Magazine / Source | Tatra Mountais Mathematical Publications |
MU Faculty or unit | |
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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