The Weibull-Power Lomax Distribution: Properties and Application
Keywords:Weibull-G, Power-Lomax Distribution, Hazard function, Likelihood estimation
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.
Abdul-Moniem, I. B. (2017). Order statistics from power lomax distribution. International Journal
of Innovative Science, Engineering and Technology, 4:1–4.
Atkinson, A. and Harrison, A. (1978). Distribution of personal wealth in britain cambridge university
Bourguignon, M., Silva, R. B., and Cordeiro, G. M. (2014). The weibull-g family of probability
distributions. Journal of Data Science, 12(1):53–68.
Bryson, M. C. (1974). Heavy-tailed distributions: properties and tests. Technometrics, 16(1):61–68.
Harris, C. M. (1968). The pareto distribution as a queue service discipline. Operations Research,
Hassan, A. S. and Al-Ghamdi, A. S. (2009). Optimum step stress accelerated life testing for lomax
distribution. Journal of Applied Sciences Research, 5(12):2153–2164.
Holland, O., Golaup, A., and Aghvami, A. (2006). Traffic characteristics of aggregated module
downloads for mobile terminal reconfiguration. IEE Proceedings-Communications, 153(5):683–
Lomax, K. (1954). Business failures: Another example of the analysis of failure data. Journal of the
American Statistical Association, 49(268):847–852.
Rady, E.-H. A., Hassanein, W., and Elhaddad, T. (2016). The power lomax distribution with an
application to bladder cancer data. SpringerPlus, 5(1):1838.
Smith, R. L. and Naylor, J. (1987). A comparison of maximum likelihood and bayesian estimators
for the three-parameter weibull distribution. Journal of the Royal Statistical Society: Series C
(Applied Statistics), 36(3):358–369.
Tahir, M. H., Cordeiro, G. M., Alizadeh, M., Mansoor, M., Zubair, M., and Hamedani, G. G. (2015a).
The odd generalized exponential family of distributions with applications. Journal of Statistical
Distributions and Applications, 2(1):1.
Tahir, M. H., Cordeiro, G. M., Mansoor, M., and Zubair, M. (2015b). The weibull-lomax distribution:
properties and applications. Hacettepe Journal of Mathematics and Statistics, 44(2):461–480
Copyright (c) 2010 The Journal and the author
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.