On Beta Exponentiated Lomax-Exponential Distribution with applications

Abstract

This study introduces a new Beta Exponentiated Lomax-Exponential Distribution (BELED) with special reference to its quantile function to enhance closed form solution of its parameters and make its proprietorial effect on data modeling quantifiable with exactness. The obtained BELED which accommodates heavy and light data, either skewed or not, addressed the challenges of intractable parameter estimation in previous related distributions from same family. The BELED properties which includes rth moments, characteristics function, Renyi and Shanon entropy, reliability measures as well as stress-strength model were derived. The estimator (β^) of the exponentiated parameter (β) from an in-built function was obtained in closed form at the modal point in the absence and presence of censoring. Pivot-quantile regression was used to determine the estimate of the scale (σ^) and shape α^ parameters, while the remaining beta generator induced shape parameters (a,b) were derived using maximization techniques via the constrain β^. The quantile function of BELED which averaged out the additive and multiplicative variation in a univariate data set, can be used in modeling the behavioural pattern of both discrete and continuous data.