ODD GENERALIZED EXPONENTIAL-INVERSE LOMAX DISTRIBUTION: PROPERTIES AND APPLICATION

Falgore J.Y, Aliyu Y, Umar A.A. and Abdullahi U.K.

Department of Statistics, Ahmadu Bello University Zaria, Nigeria

Abstract

In this paper, we defined the probability density function (Pdf) and cumulative distribution function (Cdf) of the proposed distribution. Some mathematical properties of the proposed distribution such as quantile function, moments, order statistics and asymptotic behavior were derived. The estimation of the proposed distribution’s parameters was conducted using the method of Maximum Likelihood Estimation (MLE) procedure, and finally we illustrate the usefulness of the proposed model by fitting the proposed distribution using a real life data and compared its performance to the performance of other distributions. It was found that the Odd Generalized Exponential-Inverse Lomax Distribution is a strong competitor in fitting real life data.

Keywords: Inverse Lomax Distribution, Hazard Function, Survival Function, Moments, Maximum Likelihood Estimation, Odds Function, Generalized Exponential Family of Distributions.

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