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math.PR2023
On the novel geometric and negative binomial INAR(1) processes
Nadjib Bouzar
Guerrero et al. \cite{GBSO} propose a novel approach to building first-order integer-valued autoregressive (\inar1) models based on the concept of thinning. The standard approach r…
math.PR2021
Quasi-geometric infinite divisibility
Nadjib Bouzar
The object of this paper is to introduce and study the concept of quasi-geometric infinite divisibility for distributions on . These distributions arise as mixing distribu…
math.PR2017
Expectation thinning operators based on linear fractional probability generating functions
Emad-Eldin A. A. Aly, Nadjib Bouzar
We introduce a two-parameter expectation thinning operator based on a linear fractional probability generating function. The operator is then used to define a first-order integer-v…