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Home  >  Transactions of NAMP VOL 14

17. A NEW WEIBULL- ODD FRECHET G FAMILY OF DISTRIBUTIONS by Usman A, S. I. S. Doguwa, B. B Alhaji1, and A. T. Imam Volume 14, (January - March, 2021 Issue)
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A NEW WEIBULL- ODD FRECHET G FAMILY OF DISTRIBUTIONS

Usman A1, S. I. S. Doguwa1, B. B Alhaji1,3 and A. T. Imam2

Department of Statistics Ahmadu Bello University, Zaria, Nigeria.

Department of Mathematics Ahmadu Bello University, Zaria, Nigeria.

Nigerian Defence Academy, Kaduna, Nigeria.

Abstract

Generalization of distributions plays an important role inmodeling lifetime data of different shape for different purpose, especially in engineering, physical and life science and others.We propose a New Weibull-Odd Frѐchet family of distributions and derive useful expansions and some structural properties of this family of distributions. Asub-model of this family called the New Weibull Odd Frechet Inverse Exponential distribution isproposed. The distribution is used to fit to two data sets using the Maximum Likelihood Estimation procedure. The robustness of the parameters of this distributionis tested through Monte Carlo Simulation,using bias and mean squared error. The results of fitting the new distribution to two different data sets suggest that the proposed distribution outperformed its competitors.

Keywords:  New Weibull- G family, odd Frѐchet G family, Renyi Entropy, Moments,

 New Weibull odd Frechet Inverse Exponential distribution, Monte Carlo simulation.

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