Geodesic
Characterization of the inflated Poisson distribution
Mathematica Applicanda, Tome 5 (1977) no. 10, pp. 65-69.

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 assumes that the distribution of X belongs to the class PSD of power series distributions and that the relations E(Y|X=n)=αnp and E(Y2|X=n)=αnp(1−p)+αn2p2 hold with 0
DOI : 10.14708/ma.v5i10.1256
Classification : 62E10
Mots-clés : Characterization and structure theory 
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Lucja Grzegórska. Characterization of the inflated Poisson distribution. Mathematica Applicanda, Tome 5 (1977) no. 10, pp.  65-69. doi : 10.14708/ma.v5i10.1256. http://geodesic.mathdoc.fr/articles/10.14708/ma.v5i10.1256/

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