Journal of the Iranian Statistical Society

The Weighted Exponentiated Family of Distributions: Properties, Applications and Characterizations

Authors

1 Department of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan.

2 Department of Mathematical and Statistical Sciences, Marquette University, Milwaukee, WI 53201-1881, USA.

3 Valley High Institute for Management Finance and Information Systems, Obour, Qaliubia, Egypt.

10.29252/jirss.19.1.209

Abstract

In this paper a new method of introducing an additional parameter to a continuous distribution is proposed, which leads to a new class of distributions,
called the weighted exponentiated family. A special sub-model is discussed. General expressions for some of the mathematical properties of this class such as the moments, quantile function, generating function and order statistics are derived; and certain characterizations are also discussed. To estimate the model parameters, the method of maximum likelihood is applied. A simulation study is carried out to assess the finite sample behavior of the maximum likelihood estimators. Finally, the usefulness of the proposed method via two applications to real data sets is illustrated.

Keywords

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Journal of the Iranian Statistical Society
Volume 19, Issue 1
June 2020
Pages 209-228
  • Receive Date: 23 July 2022
  • Revise Date: 20 May 2024
  • Accept Date: 23 July 2022