Exponentiated Weibull-Lomax Distribution: Properties and Estimation

Amal S. Hassan ； Marwa Abd-Allah

《Journal of Data Science》 16卷2期 (2018/04) Pp. 277-298

https://doi.org/10.6339/JDS.201804_16(2).0004

摘要

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.

關鍵字

Exponentiated Weibull-G family of distributions ； Lomax distribution ； Least sqaures method ； Weighted least squares method ； Maximum likelihood mehod