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A New Generalized of Transmuted Lindley Distribution

Applied Mathematical Sciences • 2015
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Publication Information
Authors Mahmoud M. Mansour; Salah M. Mohamed
Keywords transmutation; survival function; exponentiated exponential; order statistics; maximum likelihood estimation
Journal Applied Mathematical Sciences
Publisher HIKARI Ltd
Volume 9
Issue 55
Pages 2729 - 2748
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
This paper introduces a new generalization of the transmuted Lindley distribution, based on a new family of life time distribution by Mansour et al. (2015). We refer to the new distribution as transmuted Lindley distribution (NTL) distribution. The new model contains some of lifetime distributions as special cases such as exponentiated 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.