An extended Lindley distribution |
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| Authors: | Hassan S Bakouch Bander M Al-Zahrani Ali A Al-Shomrani Vitor AA Marchi Francisco Louzada |
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| Institution: | 1. Statistics Department, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia;2. Department of Statistics, Universidade Federal de São Carlos, P.O. Box 676, São Carlos, 13.565-905, Brazil;3. Department of Applied Mathematis and Statistics, Universidade de São Paulo, P.O. Box 668, São Carlos, 13.566-590, Brazil |
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| Abstract: | 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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