The exponentiated transmuted Weibull geometric distribution with application in survival analysis

References

• Abd El Hady, N. E. (2014). Exponentiated transmuted Weibull distribution. International Journal of Mathematical, Computational, Statistical, Natural and Physical Engineering 8:903–911.
   Google Scholar
• Alkarni, S. H. (2013). A compound class of geometric and lifetimes distributions. The Open Statistics and Probability Journal 5:1–5.
   Google Scholar
• Alzaatreh, A., Famoye, F., Lee, C. (2013). Weibull-Pareto distribution and its applications. Communications in Statistics-Theory and Methods 42(9):1673–1691.
   Google Scholar
• Aryal, G. R., Tsokos, C. P. (2011). Transmuted Weibull distribution: A generalization of the Weibull probability distribution. European Journal of Pure and Applied Mathematics 4(2):89–102.
   Google Scholar
• Barakat, H. M., Abdelkader, Y. H. (2004). Computing the moments of order statistics from nonidentical random variables. Statistical Methods and applications 13(1):15–26.
   Google Scholar
• Barlow, R.E., Proschan, F. (1965). Mathematical Theory of Reliability. New York: John Wiley.
   Google Scholar
• Barreto-Souza, W., de Morais, A. L., Cordeiro, G. M. (2011). The Weibull-geometric distribution. Journal of Statistical Computation and Simulation 81(5):645–657.
   Google Scholar
• Barreto-Souza, W., Santos, A. H., Cordeiro, G. M. (2010). The beta generalized exponential distribution. Journal of Statistical Computation and Simulation 80(2):159–172.
   Google Scholar
• Bourguignon, M., Silva, R. B., Zea, L. M., Cordeiro, G. M. (2013). The Kumaraswamy Pareto distribution. Journal of Statistical Theory and Applications 12(2):129–144.
   Google Scholar
• Cordeiro, G. M., Ortega, E. M., Silva, G. O. (2014). The Kumaraswamy modified Weibull distribution: Theory and applications. Journal of Statistical Computation and Simulation 84(7):1387–1411.
   Google Scholar
• Ghitany, M. E., Al-Hussaini, E. K., Al-Jarallah, R. A. (2005). Marshall-Olkin extended, Weibull distribution and its application to censored data. Journal of Applied Statistics 32(10):1025–1034.
   Google Scholar
• Kelton, W. D., Law, A. M. (2000). Simulation Modeling and Analysis. Boston, MA: McGraw Hill.
   Google Scholar
• Khan, M., King, R. (2013). Transmuted modified Weibull distribution: A generalization of the modified Weibull probability distribution. European Journal of Pure and Applied Mathematics 6(1):66–88.
   Google Scholar
• Lee, E. T., Wang, J. (2003). Statistical Methods for Survival Data Analysis. Vol. 476. New York: John Wiley.
   Google Scholar
• Lindley, D. V. (1958). Fiducial distributions and Bayes' theorem. Journal of the Royal Statistical Society: Series B 20:102–107.
   Google Scholar
• Mahmoudi, E., Shiran, M. (2012). Exponentiated Weibull-geometric distribution and its applications. arXiv preprint arXiv:1206.4008.
   Google Scholar
• Merovci, F., Elbatal, I. (2014). Transmuted Weibull-geometric distribution and its applications. Scientia Magna 10(1):68–82.
   Google Scholar
• Mudholkar, G. S., Srivastava, D. K. (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Transactions on Reliability 42(2):299–302.
   Google Scholar
• Nichols, M. D., Padgett, W. J. (2006). A bootstrap control chart for Weibull percentiles. Quality and Reliability Engineering International 22(2):141–151.
   Google Scholar
• Rezaei, S., Nadarajah, S., Tahghighnia, N. (2013). A new three-parameter lifetime distribution. Statistics 47(4):835–860.
   Google Scholar
• Shaw, W. T., Buckley, I. R. C. (2007). The alchemy of probability distributions: Beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. Research report. arXiv:0901.0434.
   Google Scholar
• Silva, G., Ortega, E., Cordeiro, G. (2010). The beta modified Weibull distribution. Lifetime Data Analysis 16(3):409–430.
   Google Scholar
• Surles, J. G., Padgett, W. J. (2001). Inference for reliability and stress-strength for a scaled Burr type X distribution. Lifetime Data Analysis 7(2):187–200.
   Google Scholar
• Wang, M. (2013). A new three-parameter lifetime distribution and associated inference. arXiv preprint arXiv:1308.4128.
   Google Scholar
• Weibull, W. (1939). A statistical theory of the strength of materials. IVA Handlingar (Royal Swedish Academy of Engineering Sciences, Proceedings) nr, 151.
   Google Scholar