Advances and Applications in Statistics
Volume 34, Issue 2, Pages 107 - 135
(June 2013)
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THE EXPONENTIATED LOMAX POISSON DISTRIBUTION WITH AN APPLICATION TO LIFETIME DATA
Manoel Wallace A. Ramos, Pedro Rafael D. Marinho, Ronaldo V. da Silva and Gauss M. Cordeiro
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Abstract: Generalizing lifetime distributions is always precious for applied statisticians. By compounding the exponentiated Lomax and Poisson distributions, a new continuous distribution is introduced, called the exponentiated Lomax Poisson distribution. The new model extends the Lomax distribution and some other distributions and it is quite flexible to analyze positive data. Various structural properties of the new distribution are derived including explicit expressions for the ordinary and incomplete moments, generating and quantile functions, mean deviations, Lorenz and Bonferroni curves, reliability, Rényi and Shannon entropies, order statistics and their moments. The estimation of the model parameters is performed by maximum likelihood. We also determine the observed information matrix. The potentiality of the new model is illustrated by means of a real data set. We hope that the new distribution will serve as an alternative model to other distributions available in the literature for modeling lifetime real data in many areas. |
Keywords and phrases: exponentiated distribution, exponentiated Lomax Poisson distribution, Poisson distribution, maximum likelihood estimation. |
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