Titre : Some Parametric Families of Single-Type Branching Distributions 

Auteurs : Ouaari Amel, Rachid Senoussi,  

Revue : Biostatistics and Health Sciences 

Numéro : Issue 1 

Volume : 3 

Date : 2022/09/5 

DOI : 10.21494/ISTE.OP.2022.0865 

ISSN : 2632-8291 

Résumé : In this paper, we present some parametric families of probability distributions associated to particular single type homogeneous branching processes in continuous time. Their simplicity and the relevance of the interpretation of parameters for many domains of applications are of valuable interest for statistical inference. These families are particularly well adapted to handle branching dynamical systems of populations where Poisson assumption is generally but mistakenly assumed. Calculations and pertinent properties concerning these probability distributions are derived from their generating functions satisfying specific linear partial differential equations. As a by product, these equations allow the statement of a general recurrence formula for factorial moments. 

Éditeur : ISTE OpenScience