An extension of the Rao-Rubin characterization of the Poisson distribution
- 1 June 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 14 (03) , 640-646
- https://doi.org/10.1017/s0021900200025924
Abstract
Using Bernstein's theorem concerning absolutely monotonic functions, Rao and Rubin (1964) have established a characterization of the Poisson distribution. The present note arrives at an extended version of this result using a technique existing in the renewal theory. A variant of a related result due to Srivastava and Srivastava (1970) and an extension of the result of Talwalker (1970) are also presented.Keywords
This publication has 1 reference indexed in Scilit:
- An elementary proof for the Rao-Rubin characterization of the Poisson distributionJournal of Applied Probability, 1974