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Characterization of beta, binomial, and Poisson distributions

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1 Author(s)
Ahmed, A.-H. ; Cairo Univ., Giza, Egypt

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

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Reliability, IEEE Transactions on  (Volume:40 ,  Issue: 3 )