Characterizations of beta, binomial, and Poisson distributions are presented by using conditional expectation. The author gives a necessary and sufficient condition for identifying the beta distribution. The power distribution is considered as a special case. The binomial distribution is characterized. A necessary and sufficient condition identifying the Poisson distribution is outlined. Some practical applications are presented
Published in:
Reliability, IEEE Transactions on
(Volume:40
,
Issue:
3
)
Date of Publication: Aug 1991