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12. ON THE PROPERTIES OF NEW WEIBULL-INVERSE LOMAX DISTRIBUTION by J.Y. Falgore1, S.I. Doguwa1 and A. Isah2 Transactions of NAMP Volume 10, (July and November, 2019) pp89 – 96
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ON THE PROPERTIES OF NEW WEIBULL-INVERSE LOMAX DISTRIBUTION by J.Y. Falgore1, S.I. Doguwa1 and A. Isah2 Transactions of NAMP Volume 10, (July and November, 2019) pp89 – 96

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

2 Department of Statistics and Mathematics, Federal University of Technology Minna, Nigeria

Abstract

In this paper, we proposed another extension of the Inverse Lomax distribution and study some of its statistical properties. This properties include the quantile function, median through the quantile function, moments, moments generating function, entropies, and ordered statistics. The distribution is a fat-tail, with decreasing hazard rate function and right skewed density. The higher moments does not exist and can be approximated with the Euler’s constant. We estimated the parameters of the distribution by the method of maximum likelihood.

Keywords: Inverse Lomax, Moments, Euler’s constant, Entropies, ordered statistics.

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