The Weibull-Power Lomax Distribution: Properties and Application
Keywords:
Weibull-G, Power-Lomax Distribution, Hazard function, Likelihood estimationAbstract
Authors: Hussain Nafi’u Abubakar, Doguwa S.I.S., and Yahaya Abubakar
Received 5 May 2020/Accepted 1 December 2020/
The power lomax distribution is a very good model in modelling real life financial and reliability data. However, we extend the power lomax distribution with the Weibull G family in order to increase its flexibility and usage. Therefore, in this paper a new five-parameter distribution is introduced called the Weibull-Power Lomax distribution. The structural properties of the proposed distribution such as hazard function, moments, probability weighted moments, distribution of order statistics and quantile function are derived. The maximum likelihood estimation technique is employed to estimate the parameters of the proposed distribution. To also prove the increased flexibility and performance of the distribution, it is used to model 63 observations of strengths of 1.5cm glass fibers, along with its other competing distributions. The results indicate that the proposed distribution fit the glass fiber data and performs much better than its competitors.
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