Article contents
A note on the generalized Rao–Rubin condition and characterization of certain discrete distributions
Published online by Cambridge University Press: 14 July 2016
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
- Type
- Short Communications
- Information
- Copyright
- Copyright © Applied Probability Trust 1980
References
- 3
- Cited by