Abstract

Useful Generalization of the Inverse Lomax Distribution: Statistical Properties and Application to Lifetime Data

Highlights

  • Various distributions have been proposed to serve as models for wide applications on data from different real-life situations through the extension of existing distribution

  • A random variable X is sXaid to have an In verted Lomax distribution if the corresponding probability density function and cumulative density function are given by [5]: g(x;α, β)

  • Asymptotic Behavior of the Odd Generalized Exponentiated Inverse Lomax (OGE-IL) Distribution We examine the behavior of the OGE-IL distribution in equation

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Summary

Introduction

Various distributions have been proposed to serve as models for wide applications on data from different real-life situations through the extension of existing distribution. In the course of this study, the Odd Generalized Exponential family of distribution developed by [8] having probability density and cumulative distribution function given by; f (x) = The failure rate function/hazard function is given by; article is structured as follows: In section 2, we derive the cumulative distribution function, probability density function, reliability function, odd function, hazard function, reverse hazard function, and cumulative hazard function of the Odd Generalized Exponentiated Inverse Lomax distribution, and present their respective plots for different values of the parameter. The Odd Generalized Exponentiated Inverse Lomax (OGE-IL) distribution

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