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Physical Sciences and Mathematics Commons

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Statistics and Probability

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Journal

2018

Maximum likelihood estimation

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Full-Text Articles in Physical Sciences and Mathematics

Transmuted New Weibull-Pareto Distribution And Its Applications, Areeb Tahir, Ahmad S. Akhter, M. A. Ul Haq Jun 2018

Transmuted New Weibull-Pareto Distribution And Its Applications, Areeb Tahir, Ahmad S. Akhter, M. A. Ul Haq

Applications and Applied Mathematics: An International Journal (AAM)

this article, a generalization of the new Weibull-Pareto (NWP) distribution is derived. The quadratic equation (QRTM rank transmutation map) studied by Shaw and Buckley (2007), has been used to develop the generalization. The proposed distribution includes as special cases with the new Weibull-Pareto distribution (NWP), transmuted Weibull distribution (TW), transmuted Rayleigh (TR) distribution and transmuted exponential (TE) distribution. Various structural properties of the new distribution, including of moments, quantiles, moment generating function, mean deviations, reliability analysis, order statistics and Renyi entropy are derived. The maximum likelihood estimation method has been proposed for the estimation of the parameters of the TNWP …