A NEW GENERALIZATION OF THE EXPONENTIAL-POISSON DISTRIBUTION USING ORDER STATISTICS

This paperintroduces anew familyof lifetimedistributions, using the ascendant order statistics. The proposed distribution is called the exponential-generalized truncated Poisson (EGTP) distribution. Our approach follows the same procedureasAdamidis and Loukas (1998) and generalizes the exponentialPoisson distribution introduced by Kus (2007). We give general forms of the probability density function (pdf),the cumulative distribution(cdf), the reliabilityand failure ratefunctionsof any order statistics. Theparameters' estimation is attained by the maximum likelihood (ML) and the expectation maximization (EM) algorithms. The appliedstudy is illustrated based onreal datasets.