Summary
Let Z=X+Y where (X,Y) is a random vector with nonnegative components. The conditional distribution of X given Z is called the survival distribution. For discrete (X,Y) with binomial survival distribution, Rao and Rubin have given a characterization of the Poisson distribution using the condition P(X=x|Y=0)≡ P(X=x). This paper attempts a suitable formulation of this condition for continuous random variables and investigates some of its implications for a particular class of survival distributions.
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© 1981 D. Reidel Publishing Company
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Taillie, C., Patil, G.P. (1981). Rao-Rubin Condition for a Certain Class of Continuous Damage Models. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_33
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DOI: https://doi.org/10.1007/978-94-009-8549-0_33
Publisher Name: Springer, Dordrecht
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