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A characterization of the geometric distribution

In: Tatra Mountains Mathematical Publications, vol. 17, no. 3
Gejza Wimmer - Jozef Kalas
Detaily:
Rok, strany: 1999, 325 - 329
O článku:
Let $X$ and $Y$ have discrete distributions on nonnegative integers with the property that

$$ Pr [Y=y]=(1 / (ν*))∑x≥ y+1Pr[X=x] , $$

where $0<ν*<∞$ is the mean value of $X$. Then $X$ and $Y$ are identically distributed if and only if $X$ has geometric distribution. This is a (new) characterization of the geometric distribution.
Ako citovať:
ISO 690:
Wimmer, G., Kalas, J. 1999. A characterization of the geometric distribution. In Tatra Mountains Mathematical Publications, vol. 17, no.3, pp. 325-329. 1210-3195.

APA:
Wimmer, G., Kalas, J. (1999). A characterization of the geometric distribution. Tatra Mountains Mathematical Publications, 17(3), 325-329. 1210-3195.