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A note on the generalized Rao–Rubin condition and characterization of certain discrete distributions

Published online by Cambridge University Press:  14 July 2016

Sheela Talwalker
Sheela Talwalker*
Affiliation:
CIBA-GEIGY Research Centre, Bombay
*
∗Postal address: CIBA-GEIGY Research Centre, Aarey Road, Goregaon East, P. B. 9002, Bombay 400 063, India.
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Abstract

Assuming that the original observation from a discrete distribution is subject to damage according to a binomial probability law, it is shown here that a class of discrete distributions consisting of binomial, Poisson and mixed Poisson distributions, is characterized by the generalized Rao–Rubin condition 0 <π, π′ < 1 are constants. Y denotes the resulting or observed random variable, taking the values r = 0, 1, 2, ….

Keywords

DISCRETEDISTRIBUTIONBINOMIALPOISSONMIXED POISSONBINOMIAL DAMAGE MODELRESULTING RANDOM VARIABLEGENERALIZED RAO–RUBIN CONDITIONCHARACTERIZATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 2 , June 1980 , pp. 563 - 569
Copyright
Copyright © Applied Probability Trust 1980 

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References

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