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An extended Lindley distribution
Journal article   Peer reviewed

An extended Lindley distribution

Hassan S. Bakouch, Bander M. Al-Zahrani, Ali A. Al-Shomrani, Vitor A.A. Marchi and Francisco Louzada
Journal of the Korean Statistical Society, Vol.41(1), pp.75-85
01/03/2012

Abstract

Bathtub failure rate Distributional properties Inactivity time Lifetime data Lindley distribution Unimodal failure rate
In this paper we introduce an extension of the Lindley distribution which offers a more flexible model for lifetime data. Several statistical properties of the distribution are explored, such as the density, (reversed) failure rate, (reversed) mean residual lifetime, moments, order statistics, Bonferroni and Lorenz curves. Estimation using the maximum likelihood and inference of a random sample from the distribution are investigated. A real data application illustrates the performance of the distribution.

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