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A New Generalization to Laplace Distribution
Abstract
In this paper, we propose a two-parameter version of the double Lindley distribution introduced and studied by Kumar and Jose, which can also be viewed as a generalization of the well-known Laplace distribution. We derive several important properties of the distribution and define a location-scale extension of it. We discuss the maximum likelihood estimation using EM algorithm for estimating the parameters of the distribution and fitted the distribution to certain real life data sets for illustrating the practical utility of the model. Further, a simulation study is carried out for examining the performance of likelihood estimators of the parameters of the distribution based on EM algorithm.
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