Geodesic
A characterization of the Poisson distribution in discrete models with perturbation
Mathematica Applicanda, Tome 5 (1977) no. 10, pp. 55-64.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Suppose that the random number X of particles entering a system has the distribution pn=P{X=n}, n=0,1,⋯. Due to the interference of noise, some of the arriving particles are not registered, and the number of particles observed is actually Y, where Y≤X, and Y has the distribution qn=P{Y=n}, n=0,1,⋯. The interference of noise is characterized by the conditional probabilities s(r,n)=P{Y=r|X=n}, 0≤r≤n. In this paper the author considers the case in which the probabilities s(n,r) form an inflated binomial distribution for each fixed n, i.e., (1) s(0,n)=1−α+αqn and s(r,n)=α(nr)prqn−r for 1≤r≤n, where 0
DOI : 10.14708/ma.v5i10.1255
Classification : 62E10
Mots-clés : Characterization and structure theory 
@article{10_14708_ma_v5i10_1255,
     author = {Lucja Grzeg\'orska},
     title = {A characterization of the {Poisson} distribution in discrete models with perturbation},
     journal = {Mathematica Applicanda},
     pages = { 55--64},
     publisher = {mathdoc},
     volume = {5},
     number = {10},
     year = {1977},
     doi = {10.14708/ma.v5i10.1255},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v5i10.1255/}
}
TY  - JOUR
AU  - Lucja Grzegórska
TI  - A characterization of the Poisson distribution in discrete models with perturbation
JO  - Mathematica Applicanda
PY  - 1977
SP  -  55
EP  - 64
VL  - 5
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v5i10.1255/
DO  - 10.14708/ma.v5i10.1255
LA  - pl
ID  - 10_14708_ma_v5i10_1255
ER  - 
%0 Journal Article
%A Lucja Grzegórska
%T A characterization of the Poisson distribution in discrete models with perturbation
%J Mathematica Applicanda
%D 1977
%P  55-64
%V 5
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v5i10.1255/
%R 10.14708/ma.v5i10.1255
%G pl
%F 10_14708_ma_v5i10_1255
Lucja Grzegórska. A characterization of the Poisson distribution in discrete models with perturbation. Mathematica Applicanda, Tome 5 (1977) no. 10, pp.  55-64. doi : 10.14708/ma.v5i10.1255. http://geodesic.mathdoc.fr/articles/10.14708/ma.v5i10.1255/

Cité par Sources :