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A NEW GENERALIZATION OF POWER LINDLEY DISTRIBUTION: WITH APPLICATIONS TO LIFETIME DATA

Journal of Statistics: Advances in Theory and Applications • 2015
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Publication Information
Authors MAHMOUD M. MANSOUR; MOHAMED S. HAMED
Keywords transmutation, survivalfunction, exponentiated exponential, order statistics, maximum likelihood estimation.
Journal Journal of Statistics: Advances in Theory and Applications
Publisher Scientific Advances Publishers
Volume 13
Issue 1
Pages 33-65
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
This paper introduces a new generalization of the power Lindley distribution,based on a new family of lifetime distribution by Mansour et al. [19]. We refer to the new distribution as new generalization of the power Lindley (NGPL) distribution. The new model contains some of lifetime distributions as special cases such as power Lindley, transmuted Lindley, and Lindley distributions.The properties of the new model are discussed and the maximum likelihood estimation is used to evaluate the parameters. Explicit expressions are derived
for the moments and examine the order statistics. It will be shown that the analytical results are applicable to model real data.