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1. 1. ON WEIBULL-ODD FRЀCHET G FAMILY OF DISTRIBUTIONS STATISTICAL PROPERTIES AND APPLICATIONS Usman A1, S.I.S. Doguwa1, B.B Alhaji1,3 and AT. Imam2
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Journal of the Nigerian Association of Mathematical Physics

Volume 61 (July – September 2021 Issue), pp1 – 10

ON WEIBULL-ODD FRЀCHET G FAMILY OF DISTRIBUTIONS: STATISTICAL PROPERTIES AND APPLICATIONS

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

1Department of Statistics Ahmadu Bello University, Zaria, Nigeria.

2Department of Mathematics Ahmadu Bello University, Zaria, Nigeria.

3Nigerian Defence Academy, Kaduna, Nigeria.

Abstract

We proposed a new family of distributions called the Weibull- Odd Frѐchet G family of distributions and we derived some of its structural properties. One family of this distribution called Weibull- Odd Frѐchet Inverse Exponential distribution is used to fit two data sets using the MLE procedure. A Monte Carlo simulation is used to test the robustness of the parameters of this distribution, in terms of the bias and mean squared error. The results of fitting this new distribution to two different data sets suggest that the new distribution outperforms its competitors.

Keywords: Weibull- odd Frѐchet Gfamily.Monte Carlo simulation. Weibull- Odd Frѐchet Inverse Exponential distribution.

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