Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Characterization of the inflated Poisson distribution

100%

Grzegórska L.

Mathematica Applicanda

1977

tom 5

nr 10

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

A characterization of the Poisson distribution in discrete models with perturbation

100%

Grzegórska L.

Mathematica Applicanda

1977

tom 5

nr 10

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

Ograniczanie wyników

2 Mathematica Applicanda

2 Grzegórska L.

2 1977

Wyniki wyszukiwania

Characterization of the inflated Poisson distribution

A characterization of the Poisson distribution in discrete models with perturbation