On characterizing lagrangian poisson and quasi-binomial distributions

Abstract

The Lagrangian Poisson and the quasi-binomial distributions are characterized, in the context of the Rao-Rubin damage model, by the conditional distribution of one random variable (r.v.) given another, and the linear regression of the second r.v. on the first. The characterizations of the Poisson and the binomial given by Korwar (1975) are then the special cases of the above.

Keywords:

• characterizations
• Lagrangian Poisson distribution
• linear regression
• quasi-binomial distribution