- Tytuł:
- A characterization of the Poisson distribution in discrete models with perturbation
- Autorzy:
- Grzegórska, Lucja
- Powiązania:
- https://bibliotekanauki.pl/articles/747988.pdf
- Data publikacji:
- 1977
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
- Characterization and structure theory
- Opis:
-
.
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 - Źródło:
-
Mathematica Applicanda; 1977, 5, 10
1730-2668
2299-4009 - Pojawia się w:
- Mathematica Applicanda
- Dostawca treści:
- Biblioteka Nauki
Artykuł