A New Lifetime Distribution with Increasing Failure Rate: Exponential Truncated Poisson

In this paper, a new two-parameter lifetime distribution with increasing failure rate is introduced for maximum survival time in exponential truncate Poisson distribution. Various properties of the proposed distribution are discussed. The estimation of the parameters attained by the EM algorithm. The asymptotic variance and covariance are also obtained. In order to assess the accuracy of the approximation of variance and covariance of the maximum likelihood estimators, simulation studies are performed and experimental results are illustrated based on four real data sets. A complete comparison between our model and three recent models is also performed.

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