On a Discrete Distribution with Special Reference to the Theory of Accident Proneness

Abstract
A new discrete distribution arising from a Poisson distribution when the prior distribution of the parameter involved in uniform, has been obtained and its application in an accident proneness model is indicated. The posterior distribution of the parameter turns out to be a truncated gamma distribution and it is noted that the posterior distribution corresponding to a truncated prior distribution is simply the truncation of the posterior corresponding to the untruncated prior.

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