The New Extended Flexible Weibull Distribution and Its Applications
International Journal of Data Science and Analysis
Volume 3, Issue 3, June 2017, Pages: 18-23
Received: Jun. 7, 2017; Accepted: Jul. 11, 2017; Published: Sep. 26, 2017
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Authors
Zubair Ahmad, Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
Zawar Hussain, Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan
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Abstract
The present article considers a new function to propose a new lifetime distribution. The new distribution is introduced by mixing up a linear system of the two logarithms of cumulative hazard functions. The proposed model is called new extended flexible Weibull distribution and is able to model lifetime with bathtub shaped failure rates and offers greater flexibility. Therefore, it can be quite valuable to use an alternative model to other existing lifetime distributions, where, modeling of real data sets with bathtub shaped failure rates are of interest. A brief description of the statistical properties along with estimation of the parameters through maximum likelihood procedure are discussed. The potentiality of the proposed model is showed by discussing two real data sets. For these data sets, the proposed model outclasses the Flexible Weibull Extension, Inverse Flexible Weibull Extension and Modified Weibull distributions.
Keywords
Bathtub Shaped Failure Rates, Order Statistics, Moment Generating Function, Maximum Likelihood Estimation
To cite this article
Zubair Ahmad, Zawar Hussain, The New Extended Flexible Weibull Distribution and Its Applications, International Journal of Data Science and Analysis. Vol. 3, No. 3, 2017, pp. 18-23. doi: 10.11648/j.ijdsa.20170303.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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