New integrated view at partial-sums distributions

• Autoři: WIMMER Gejza; MAČUTEK Ján
• Rok publikování: 2012
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Tatra Mountais Mathematical Publications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Doi: https://doi.org/10.2478/v10127-012-0018-8
• Obor: Aplikovaná statistika, operační výzkum
• Klíčová slova: partial-sums distributions; Poisson distribution; hypergeometric series
• Popis: 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.

Související projekty

• Centrum Jaroslava Hájka pro teoretickou a aplikovanou statistiku