Characterization of the inflated Poisson distribution

• Autorzy: Lucja Grzegórska
• Języki publikacji: EN

Abstrakty

EN

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

PL

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Słowa kluczowe

EN

Characterization and structure theory

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1977
• Tom: 5
• Numer: 10

Daty

wydano

1977

online

1977-12-01

Twórcy

autor

Lucja Grzegórska

Identyfikatory

DOI

10.14708/ma.v5i10.1256