Exponentiated power Lindley–Poisson distribution: Properties and applications |
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Authors: | Mavis Pararai Gayan Warahena-Liyanage Broderick O Oluyede |
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Institution: | 1. Department of Mathematics, Indiana University of Pennsylvania, Indiana, PA, USA;2. Department of Mathematics, Central Michigan University, Mount Pleasant, MI USA;3. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA USA |
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Abstract: | A new four-parameter distribution called the exponentiated power Lindley–Poisson distribution which is an extension of the power Lindley and Lindley–Poisson distributions is introduced. Statistical properties of the distribution including the shapes of the density and hazard functions, moments, entropy measures, and distribution of order statistics are given. Maximum likelihood estimation technique is used to estimate the parameters. A simulation study is conducted to examine the bias, mean square error of the maximum likelihood estimators, and width of the confidence interval for each parameter. Finally, applications to real data sets are presented to illustrate the usefulness of the proposed distribution. |
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Keywords: | Exponentiated power Lindley distribution exponentiated power Lindley–Poisson distribution maximum likelihood estimation power Lindley distribution |
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