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An extended Lindley distribution
Hassan S. Bakouch,Bander M. Al-Zahrani,Ali A. Al-Shomrani,Vitor A.A. Marchi,Francisco Louzada 한국통계학회 2012 Journal of the Korean Statistical Society Vol.41 No.1
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.