A new generated distribution to analyze a practical engineering problem and applications
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 7, p. 470-484.

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There are many systems that can handle a mix of series-parallel or parallel-series systems. Here, a new three-parameter distribution motivated mainly by dealing with series-parallel or parallel-series systems is introduced. Moments, conditional moments, mean deviations, moment generating function, quantile, Lorenz, and Bonferroni curves of the new distribution including are presented. Entropy measures are given and estimation of its parameters is studied. Two real data applications are described to show its superior performance versus some known lifetime models.
DOI : 10.22436/jnsa.012.07.05
Classification : 60E05, 62E10, 62E15
Keywords: Lindley distribution, geometric distribution, maximum likelihood estimation, truncated Poisson distribution

Abd Elrazik, Enayat M.  1 ; Mansour, Mahmoud M.  2

1 Department of MIS, Yanbu, Taibah University, Saudi Arabia
2 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
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Abd Elrazik, Enayat M.  ; Mansour, Mahmoud M. . A new generated distribution to analyze a practical engineering problem and applications. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 7, p. 470-484. doi : 10.22436/jnsa.012.07.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.07.05/

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