STASTICAL INFERENCE AND MODELING WITH THE INVERTED LENGTH-BIASED EXPONENTIAL MODEL

Abstract

Length-biased exponential (LBE) or moment exponential (ME) distribution is considered as one of the
most important univariate and parametric models. It is commonly utilized in the analysis of data
collected throughout a lifespan and in problems connected to the modeling of failure processes. There
is much to be said for a flexible lifespan distribution model, and this one may be a suitable fit for some
sets of failure data. Reference [1] proposed the LBE with the following PDF and distribution function
(CDF):