Exponentiated Weibull-Lomax Distribution: Properties and Estimation

Abstract

In this article, we introduce a new class of five-parameter model called the Exponentiated Weibull Lomax arising from the Exponentiated Weibull generated family. The new class contains some existing distributions as well as some new models. Explicit expressions for its moments, distribution and density functions, moments of residual life function are derived. Furthermore, Rényi and q-entropies, probability weighted moments, and order statistics are obtained. Three suggested procedures of estimation, namely, the maximum likelihood, least squares and weigthed least squares are used to obtain the point estimators of the model parameters. Simulation study is performed to compare the performance of different estimates in terms of their relative biases and standard errors. In addition, an application to two real data sets demonstrate the usefulness of the new model comparing with some new models.

Statistical Properties of Rayleigh Lomax distribution with applications in Survival Analysis

“…The β or q-entropy introduced by Havrda and Charvat [19] is denoted by ( ) q I H and can be computed as:…”

A Log-Beta Rayleigh Lomax Regression Model

“…In the recent past, many works have been done which extend both Rayleigh and Lomax distribution, for instance: Weibull-Lomax (WL ) distribution introduced by Tahir et al(2010), Gumbel-Lomax (GL ) distribution proposed by Tahir et al(2016), Exponential Lomax (EL) distribution by El-Bassiouny et al(2015), Exponentiated Weibull Lomax (EWL ) distribution was initiated by Hassan and Abd-allah (2018), the Beta-modified weighted Rayleigh (BMWR) distribution by Badmus et al(2017), the Gamma-Rayleigh (GR) distribution by Akarawak et al(2017). The Rayleigh Lomax (RL ) distribution with three parameters proposed by Kawsar et al(2018) based on the combination of Rayleigh distribution by Siddiqui (1962) and Lomax distribution by Lomax (2018) which they intend to fit several kinds of survival data.…”

Estimation of the Daily Recovery Cases in Egypt for COVID-19 Using Power Odd Generalized Exponential Lomax Distribution

“…So several classes have been proposed, in the statistical literature, by adding one or more parameters to generate new distributions. Among this literature exponential Lomax [ 9 ], exponentiated Weibull- Lomax [ 10 ], the odd Lomax generator [ 11 ], the generalized odd inverted exponential-G family [ 12 ], the odd log-logistic Lindley-G [ 13 ] and the odd Dagum family of distributions [ 14 ].…”