THE GENERALIZED WEIBULL PARETO DISTRIBUTION; ITS PROPERTIES AND APPLICATION
Abstract
Modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. In this study, a four-parameter lifetime model called the Generalized Weibull-Pareto (GWPD) distribution was proposed using the concept of exponentiated distributions. Some properties of the proposed distribution have been studied including explicit expressions for the moments, moments generating function, Survival and Hazard function. The method of Maximum Likelihood Estimation was used for estimating the model parameters. The proposed distribution was applied to two real data sets to prove its fit over some other baseline distributions.
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Afify, A. Z., Yousof, H. M., Hamedani, G. G. and Aryal, G. (2016). The Exponentiated Weibull Pareto Distribution with Application. Journal of Data Science, 6: 1-19.
Ali, M. M., Manisha, P. and Jungsoo, W. (2007). Some Exponentiated Distributions, the Korean Communications in Statistics, 14: 93-109
Barreto-Souza, W. M., and Simas, A. B, (2011). Some result of Beta Frechet Distribution. Communication in Statistics-theory and method. 40: 798-811
Bourguignon, M. R., Silva, L. M, and Cordeiro, G. M, (2012). The Kumaraswamy Pareto Distribution, Journal of Statistical Theory and Application, 12:129-144.
Codeiro, G.M., Edwin, M. M., Ortega, M, and Thiago G. R. (2015). A new Generalized Weibull family of Distributions: Mathematical properties and applications; Journal of Statistical Distributions and Applications (2015) 2:13DOI 10.1186/s40488-015-0036-6
Gupta R. C., Gupta R. D, and Gupta P. L. (1998); Modeling failure time data by Lehman alternatives. Communications in Statistics-Theory and Methods, 27, 887–904.
Klugman, S. A., Panjer, H. H., Wilmot, G. E. Loss models from data to decisions, second Edition., Wiley-inter-science, a John Wiley and sons, inc., New York, (2004).
Lemonte, A. J. and Codeiro, G. M. (2013). An Extended Lomax distribution. Journal of Theoretical and Applied Statistics, 47(4): 800-816.
Nadeau T. P. and Teorey, T. J. 2003; A Pareto Model for OLAP View Size Estimation. Information Systems Frontiers, 5, 137–147
Oguntunde, P. E., Balogun, O. S., Okagbue, H. I, and Bishop, S. A. (2015): The Weibull- Exponential Distribution: Its Properties and Applications, Journal of Applied Sciences. 15(11): 1305-1311.
Pickands, J. (1975). Statistical inference using extreme order Statistics, Annals of Statistics, 3: 119–131.
Smith, R. L. and Naylor, J. C. (1987), A Comparison of Maximum Likelihood and Bayesian Estimators for the Three-Parameter Weibull Distribution, Applied Statistics, 36: 358-369.
Wikipedia, Pareto Distribution. Available at https://en.wikipedia.org/wiki/paretodistribution. Retrieved on 12th June, 2016.
Zea, L. M., Silva, R. B., Bourguinon, M., Santos, A. M., and Codeiro, G. M. (2012). The Beta Exponentiated Pareto Distribution with Application to Bladder Cancer Susceptibility, International Journal of Statistics and Probability 1: 8-19.
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