Geodesic
Discrete Probability Models Using Taylor Series Mohammad Masjed-Jamei, Edward Omey,
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We briefly consider basic properties of power series distribution and derive generating functions, Laplace transforms and combinations of such distributions. In the main section of the paper, we also study compound processes for sums and for extremes. We then provide new Panjer type of relationships and study the asymptotic behaviour of the compound processes. This analysis shows that these distributions may be used for modeling discrete data with light as well as heavy tails. 
@article{BASS_2022_47_1_a6,
     author = {Meitner Cadena and Nasser Saad},
     title = {Discrete {Probability} {Models} {Using} {Taylor} {Series} {Mohammad} {Masjed-Jamei,} {Edward} {Omey,}},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {101 - 129},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2022},
     url = {http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a6/}
}
TY  - JOUR
AU  - Meitner Cadena
AU  - Nasser Saad
TI  - Discrete Probability Models Using Taylor Series Mohammad Masjed-Jamei, Edward Omey,
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2022
SP  - 101 
EP  -  129
VL  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a6/
ID  - BASS_2022_47_1_a6
ER  - 
%0 Journal Article
%A Meitner Cadena
%A Nasser Saad
%T Discrete Probability Models Using Taylor Series Mohammad Masjed-Jamei, Edward Omey,
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2022
%P 101 - 129
%V 47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a6/
%F BASS_2022_47_1_a6
Meitner Cadena; Nasser Saad. Discrete Probability Models Using Taylor Series Mohammad Masjed-Jamei, Edward Omey,. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022) no. 1. http://geodesic.mathdoc.fr/item/BASS_2022_47_1_a6/