A NEW FOUR-PARAMETER WEIBULL DISTRIBUTION WITH APPLICATION TO FAILURE TIME DATA
Abstract
A lifetime model called Transmuted Exponential-Weibull Distribution was proposed in this research. Several statistical properties were derived and presented in an explicit form. Maximum likelihood technique is employed for the estimation of model parameters, and a simulation study was performed to examine the behavior of various estimates under different sample sizes and initial parameter values. Through using real-life datasets, it was empirically shown that the new model provides sufficient fits relative to other existing models.
References
Ahmad, A., Ahmad, S., & Ahmed, A. (2017). Characterization and Estimation of Weibull-Rayleigh distribution with Applications to life time data. Appl. Math. Inf. Sci. Lett, 5, 71-79.
Alzaatreh, A., Lee, C., and Famoye, F. (2013). A new method for generating families of continuous distributions. Metron, 71, 63-79.
Aryal, G. R., & Tsokos, C. P. (2011). Transmuted Weibull distribution: A generalization of theWeibull probability distribution. European Journal of Pure and Applied Mathematics, 4(2), 89-102.
Aryal, G., & Elbatal, I. (2015). On the exponentiated generalized modified Weibull distribution. Communications for Statistical Applications and Methods, 22(4), 333-348.
Bourguignon, M., Silva, R.B. and Cordeiro, G.M. (2014). The Weibull-G Family of Probability Distributions. Journal of Data Science, 12, 53-68.
CalderÃn-Ojeda, E. (2015). On the Composite Weibull–Burr Model to describe claim data. Communications in Statistics: Case Studies, Data Analysis and Applications, 1(1), 59-69.
Cordeiro, G. M., Afify, A. Z., Yousof, H. M., Cakmakyapan, S., & Ozel, G. (2018). The Lindley Weibull distribution: properties and applications. Anais da Academia Brasileira de Ciências, 90(3), 2579-2598.
Cordeiro, G. M., Hashimoto, E. M., & Ortega, E. M. (2014). The McDonald Weibull model. Statistics, 48(2), 256-278.
Cordeiro, G.M., Ortega, E.M.M. and Da Cunha, D.C.C. (2013). The exponentiated generalized class of distribution. Journal of Data Science, 11, 1-27.
Cordeiro, G.M., Ortega, E.M.M., Popovic, B.V. and Pescim, R.R. (2014). The Lomax generator of distributions: Properties, minification process and regression model. Applied Mathematics and Computation, 247, 465-486.
Daniyal, M., & Aleem, M. (2014). On the mixture of Burr XII and Weibull distributions. Journal of Statistics Applications & Probability, 3(2), 251.
Mead, M.E., Cordeiro, G.M., Afify, A., Al-Mofleh, H. (2019). The Alpha Power Transformation Family: Properties and Applications. Pakistan Journal of Statistics and Operation Research, 15(3), 525-545.
Mohammed, A. S. (2019). Theoretical Analysis of the Exponentiated Transmuted Kumaraswamy Distribution with Application. Annals of Statistical Theory and Applications (ASTA), 1, 51-60.
Mohammed, A. S., & Ugwuowo, F. I. (2020). A New Family of Distributions For Generating Skewed Models: Properties And Applications. Pakistan Journal of Statistics, 36(2).
Mohammed, A. S., & Yahaya, A. (2019). Exponentiated Transmuted Inverse Exponential Distribution with Application. Annals of Statistical Theory and Applications (ASTA), 2, 71-80.
Mudholkar, G. S., Srivastava, D. K., & Kollia, G. D. (1996). A generalization of the Weibull distribution with application to the analysis of survival data. Journal of the American Statistical Association, 91(436), 1575-1583.
Xie M., Tang, Y. & Goh, T. N. (2002). A modified Weibull extension with bathtub failure rate function. Reliab Eng Syst Saf 76: 279-285.
Xie, M. & lai, C. D. (1995). Reliability analysis using an additive Weibull model with bathtubshaped failure ratefunction. Reliab Eng Syst Saf 52: 87-93.
Zaindin, M., & Sarhan, A. M. (2009). Parameters estimation of the modified Weibull distribution. Applied Mathematical Sciences, 3(11), 541-550.
Copyright (c) 2020 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences