Abstract

In this paper, a new lifetime distribution in the class of Lindley is developed and it is called "Doje Distribution". It is flexible in modeling lifetime data. The mathematical properties which include moments, the shape of the distribution, Quantile function, hazard function, survival function, stochastic ordering, mean deviation, Bonferroni and Lorenz curve, order statistic, and Renyi entropy have been studied. The maximum likelihood estimation has also been discussed. Two-lifetime data sets were utilized to demonstrate its usefulness. The results show that the proposed Doje distribution is better than Lindley, Ishita, Pareto, Chris-Jerry, Sushila, and Rama’s distribution in the instances of the data used.

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