The odd Lindley Nadarajah-Haghighi distribution

Haitham M. Yousof, Mustafa Ç. Korkmaz, G. G. Hamedani


In this paper, a new three-parameter model which can be used in lifetime data analysis is introduced. Its failure rate function can be decreasing, increasing, constant and bathtub-shaped depending on its parameters. We derive explicit expressions for some of its statistical and mathematical quantities including the ordinary moments, generating function, incomplete moments, order statistics, moment of residual life and reversed residual life. Some useful characterizations are presented. Maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimators are discussed in case of uncensored data. The censored maximum likelihood estimation is presented in the general case of the multi-censored data. We demonstrate empirically the importance and flexibility of the new model in modeling real data set.

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Haitham M. Yousof, Mustafa Ç. Korkmaz, G. G. Hamedani, The odd Lindley Nadarajah-Haghighi distribution, Journal of Mathematical and Computational Science, Vol 7, No 5 (2017), 864-882

Copyright © 2017 Haitham M. Yousof, Mustafa Ç. Korkmaz, G. G. Hamedani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

J. Math. Comput. Sci.

ISSN: 1927-5307

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