A new family of lifetime models |
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| Authors: | Saralees Nadarajah K Jayakumar Miroslav M Risti? |
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| Institution: | 1. School of Mathematics , University of Manchester , Manchester , M13 9PL , UK mbbsssn2@manchester.ac.uk;3. Department of Statistics , University of Calicut , Kerala , India;4. Faculty of Sciences and Mathematics , University of Ni? , Ni? , Serbia |
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| Abstract: | We introduce a new family of distributions by adding a parameter to the Marshall–Olkin family of distributions. Some properties of the new family of distributions are derived. A particular case of the family, a three-parameter generalization of the exponential distribution, is given special attention. The shape properties, moments, distributions of the order statistics, entropies and estimation procedures are derived. An application to a real data set is discussed. |
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| Keywords: | exponential distribution Marshall–Olkin family of distributions truncated negative binomial distribution |
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