Some results on the Lomax distribution with three parameters

Abstract

In this paper, we consider a new way to see the three parameters Lomax distribution and we study the main properties of this distribution, with special emphasis on its expectation, variance, quantiles and some characteristics related to reliability studies. We briefly describe different methods of estimations, namely maximum likelihood estimators, least squares estimators, weighted least squares, maximum product spacing estimates and method of Cramer-von-Misses and and compare them using extensive numerical simulations. Applications reveals that the model proposed can be very useful in fitting real data. Two applications are carried out on real data to show the potentiality of the proposed family. Keywords: exponential distribution, Lomax distribution, Order Statistics, Maximum Likelihood Estimation, Quantile function, Generating Function, Moments.