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A GENERALIZATION OF WEIBULL DISTRIBUTION: THEORY AND APPLICATIONS
Keywords:
goodness-of-fit, hazard rate function, maximum likelihood estimation, moments, transmuted distributions, Weibull distribution.DOI:
https://doi.org/10.17654/0972361722083Abstract
In this paper, we introduce a new continuous four parameter distribution called the exponential transmuted Weibull (ETW) distribution. Statistical properties of the proposed distribution such as expansion of density function, shapes of probability density function and hazard rate function, moments, incomplete moments, moment generating function, mean deviation, Bonferroni and Lorenz curves are derived. We discuss the method of maximum likelihood to estimate the model parameters and conduct a simulation study to check the performance of the method. Two real data sets are used to illustrate the importance and flexibility of the proposed model.
Received: September 15, 2022
Accepted: October 15, 2022
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