TY  - Type of reference 
TI  - Some Parametric Families of Single-Type Branching Distributions 
AU  - Rachid Senoussi 
AU  - Ouaari Amel 
AB  - 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. 
DO  - 10.21494/ISTE.OP.2022.0865 
JF  - Biostatistics and Health Sciences 
KW  - Continuous-time Branching Processes,  Partial Differential Equations,  probability generating function,  factorial moments,  zero inflated distributions, Processus de branchement en temps continu,  Equations aux dérivées partielles,  fonction génératrice des moments,  moments factoriels,  ditributions alourdies en zero,  
L1  - http://www.openscience.fr/IMG/pdf/iste_biostat22v3n1_2.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2022/09/5 
SN  - 2632-8291 
TT  - Quelques Familles de Lois Paramétriques pour les Processus de Branchement Univariés 
UR  - http://www.openscience.fr/Some-Parametric-Families-of-Single-Type-Branching-Distributions 
IS  - Issue 1 
VL  - 3 
ER  -