Journal Published Online: 09 October 2018
Volume 47, Issue 5

Weighted Modified Weibull Distribution

CODEN: JTEVAB

Abstract

A profusion of new classes of distributions has recently showed its usefulness to applied statisticians working in various areas of studies. Generalizing existing distributions by adding extra parameters to an existing family of distribution functions leads to more flexible models. In this article, we define a new three-parameter lifetime model called the weighted modified Weibull distribution. Various statistical properties of the distribution are derived. The estimation of parameters is discussed by using the method of maximum likelihood. Finally, the superiority of the proposed distribution is shown by analyzing four well-known lifetime datasets.

Author Information

Khan, Muhammad Nauman
Department of Mathematics, Kohat University of Science & Technology, Kohat, Pakistan
Saeed, Anwaar
Department of Mathematics, Kohat University of Science & Technology, Kohat, Pakistan
Alzaatreh, Ayman
Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates
Pages: 14
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Stock #: JTE20170370
ISSN: 0090-3973
DOI: 10.1520/JTE20170370