4 papers
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…
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…
Stationary underdispersed INAR(1) models based on the backward approach
Emad-Eldin AA Aly, Nadjib Bouzar
Most of the stationary first-order autoregressive integer-valued (INAR(1)) models were developed for a given thinning operator using either the forward approach or the backward app…
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…