Structural Properties of Marshall-Olkin Extended Inverse Exponential Distribution

Abstract

This paper introduces a new extension of the Inverse Exponential distribution using the framework of Marshall-Olkin (1997) family of distributions. The new model is capable of modeling various shapes of aging and failure criteria. The statistical properties of the new model are discussed and the maximum likelihood and maximum product spacing’s methods are used to estimate the parameters involved. Explicit expressions are derived for the moments and the order statistics are examined for the new proposed model. Finally, the usefulness of the new model for modeling reliability data is illustrated using two real data sets with simulation study.

Keywords: Inverse Exponential distribution, reliability analysis, maximum likelihood estimation, maximum product spacing’s estimates.