Transmuted Generalized Inverted Exponential Distribution with Application to Reliability Data

Abstract

This paper investigates the potential usefulness of the three parameter transmuted generalized inverted exponential distribution for modelling upside-down bathtub shaped instantaneous failure rates. Some structural properties of this distribution are discussed. Explicit expressions are derived, such as quantile, Rényi entropy and the r^th moment of order statistics. The method of maximum likelihood is used for estimating the model parameters and illustrate this model through an application to failure data.