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Abstract

In this work we focus on proposing a new lifetime Weibull type model called the transmuted Topp-Leone Weibull and studying its properties. We derive some new bivariate and multivariate transmuted Topp-Leone Weibull versions using “Farlie Gumbel Morgenstern (FGM) Copulaâ€, “modified FGM Copulaâ€, “Clayton Copula†and “Renyi's entropy Copulaâ€. The estimation of its unknown parameters is carried out by considering different method of estimation. The statistical performances of all methods are studied by two real data sets and a numerical Monte Carlo simulation. The Cramer-Von Mises method is the best method for modeling the carbon fibers data. The maximum likelihood method is the best method for modeling the Leukemia data, however all other methods performed well.

Keywords

Weibull Distribution Farlie Gumbel Morgenstern Clayton Copula Least Square Topp-Leone Likelihood Estimation Weighted Least Square Cramer-Von-Mises Bootstrapping

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How to Cite
Ibrahim, M., & Yousof, H. (2020). Transmuted Topp-Leone Weibull Lifetime Distribution: Statistical Properties and Different Method of Estimation. Pakistan Journal of Statistics and Operation Research, 16(3), 501-515. https://doi.org/10.18187/pjsor.v16i3.2811
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