On the record-based transmuted model of balakrishnan and He based on weibull distribution

References

• Al-Babtain, A.,. A. A. Fattah, A. H. N. Ahmed, and F. Merovci. 2017. The Kumaraswamy-transmuted exponentiated modified Weibull distribution. Communications in Statistics-Simulation and Computation 46 (5):3812–32. doi:10.1080/03610918.2015.1011338.
   Web of Science ®Google Scholar
• Anderson, T. W., and D. A. Darling. 1952. Asymptotic theory of certain “goodness-of-fit” criteria based on stochastic processes. The Annals of Mathematical Statistics 23 (2):193–212. doi:10.1214/aoms/1177729437.
   Google Scholar
• Aryal, G. R. 2013. Transmuted log-logistic distribution. Journal of Statistics Applications & Probability 2 (1):11–20. doi:10.12785/jsap/020102.
   Google Scholar
• Aryal, G. R., and C. P. Tsokos. 2011. Transmuted Weibull distribution: A generalization of the Weibull probability distribution. European Journal of Pure and Applied Mathematics 4 (1):89–102.
   Google Scholar
• Aslam, M., Z. Hussain, and Z. Asghar. 2018. Cubic transmuted-g family of distributions and its properties. Stochastics and Quality Control 33 (2):103–12. doi:10.1515/eqc-2017-0027.
   Google Scholar
• Bakouch, H. S., M. M. Ristić, A. Asgharzadeh, L. Esmaily, and B. M. Al-Zahrani. 2012. An exponentiated exponential binomial distribution with application. Statistics & Probability Letters 82 (6):1067–81. doi:10.1016/j.spl.2012.03.004.
   Web of Science ®Google Scholar
• Balakrishnan, N., and M. He. 2019. A record-based transmuted model. Under Review. Advance online publication.
   Google Scholar
• Broyden, C. G. 1970. The convergence of a class of double-rank minimization algorithms 1. general considerations. IMA Journal of Applied Mathematics 6 (1):76–90. doi:10.1093/imamat/6.1.76.
   Google Scholar
• Dey, S., F. A. Moala, and D. Kumar. 2018. Statistical properties and different methods of estimation of Gompertz distribution with application. Journal of Statistics and Management Systems 21 (5):839–76. doi:10.1080/09720510.2018.1450197.
   Web of Science ®Google Scholar
• Fattah, A. A., S. Nadarajah, and A. H. N. Ahmed. 2017. The exponentiated transmuted Weibull geometric distribution with application in survival analysis. Communications in Statistics - Simulation and Computation 46 (6):4244–63. doi:10.1080/03610918.2015.1112909.
   Web of Science ®Google Scholar
• Fletcher, R. 1970. A new approach to variable metric algorithms. The Computer Journal 13 (3):317–22. doi:10.1093/comjnl/13.3.317.
   Web of Science ®Google Scholar
• Glaser, R. E. 1980. Bathtub and related failure rate characterizations. Journal of the American Statistical Association 75 (371):667–72. doi:10.1080/01621459.1980.10477530.
   Web of Science ®Google Scholar
• Goldfarb, D. 1970. A family of variable-metric methods derived by variational means. Mathematics of Computation 24 (109):23–6. doi:10.1090/S0025-5718-1970-0258249-6.
   Web of Science ®Google Scholar
• Gradshteyn, I. S., and I. M. Ryzhik. 2014. Table of integrals, series, and products. USA: Academic press.
   Google Scholar
• Granzotto, D. C. T., and F. Louzada. 2015. The transmuted log-logistic distribution: Modeling, inference, and an application to a polled tabapua race time up to first calving data. Communications in Statistics - Theory and Methods 44 (16):3387–402. doi:10.1080/03610926.2013.775307.
   Web of Science ®Google Scholar
• Granzotto, D. C. T., F. Louzada, and N. Balakrishnan. 2017. Cubic rank transmuted distributions: Inferential issues and applications. Journal of Statistical Computation and Simulation 87 (14):2760–78. doi:10.1080/00949655.2017.1344239.
   Web of Science ®Google Scholar
• Kemaloglu, S. A., and M. Yilmaz. 2017. Transmuted two-parameter Lindley distribution. Communications in Statistics - Theory and Methods 46 (23):11866–79. doi:10.1080/03610926.2017.1285933.
   Web of Science ®Google Scholar
• Khan, M. S., and R. King. 2014. A new class of transmuted inverse Weibull distribution for reliability analysis. American Journal of Mathematical and Management Sciences 33 (4):261–86. doi:10.1080/01966324.2014.929989.
   Google Scholar
• Khan, M. S., R. King, and I. L. Hudson. 2017. Transmuted generalized exponential distribution: A generalization of the exponential distribution with applications to survival data. Communications in Statistics - Simulation and Computation 46 (6):4377–98. doi:10.1080/03610918.2015.1118503.
   Web of Science ®Google Scholar
• Macdonald, P. D. M. 1971. Comments and Queries Comment on “An Estimation Procedure for Mixtures of Distributions” by Choi and Bulgren. Journal of the Royal Statistical Society: Series B (Methodological) 33 (2):326–9. doi:10.1111/j.2517-6161.1971.tb00884.x.
   Web of Science ®Google Scholar
• Merovci, F. 2013. Transmuted lindley distribution. International Journal of Open Problems in Computer Science and Mathematics 6 (2):63–72. doi:10.12816/0006170.
   Google Scholar
• Murthy, D., M. Xie, and R. Jiang. 2004. Weibull models. Wiley series in probability and statistics. Trenton, NJ: John Wiley and Sons.
   Google Scholar
• Nofal, Z. M., A. Z. Afify, H. M. Yousof, and G. M. Cordeiro. 2017. The generalized transmuted-G family of distributions. Communications in Statistics - Theory and Methods 46 (8):4119–36. doi:10.1080/03610926.2015.1078478.
   Web of Science ®Google Scholar
• Rahman, M. M., B. Al-Zahrani, and M. Q. Shahbaz. 2018. A General Transmuted Family of Distributions. Pakistan Journal of Statistics and Operation Research 14 (2):451–69. doi:10.18187/pjsor.v14i2.2334.
   Web of Science ®Google Scholar
• Rahman, M. M., B. Al-Zahrani, and M. Q. Shahbaz. 2020. Cubic Transmuted Pareto Distribution. Annals of Data Science 7 (1), 91–108. doi:10.1007/s40745-018-0178-8.
   Google Scholar
• Renyi, A. 1961. On measures of entropy and information. In: Proceedings of the 4th Fourth Berkeley Symposium on Mathematical Statistics and Probability, 547–61. University of California Press, Berkeley.
   Google Scholar
• Saraçoğlu, B., and C. Tanış. 2018. A new statistical distribution: Cubic rank transmuted Kumaraswamy distribution and its properties. Journal of the National Science Foundation of Sri Lanka 46 (4):505–18. doi:10.4038/jnsfsr.v46i4.8626.
   Web of Science ®Google Scholar
• Shanno, D. F. 1970. Conditioning of quasi-Newton methods for function minimization. Mathematics of Computation 24 (111):647–56. doi:10.1090/S0025-5718-1970-0274029-X.
   Web of Science ®Google Scholar
• Shaw, W. T., and I. R. Buckley. 2009. The alchemy of probability distributions: Beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. arXiv preprint arXiv:0901.0434
   Google Scholar
• Shi, X., B. O. Oluyede, and M. Pararai. 2012. Theoretical properties of weighted generalized Rayleigh and related distributions. Theoretical Mathematics and Applications 2 (1):45–62.
   Google Scholar
• Tian, Y., M. Tian, and Q. Zhu. 2014. Transmuted linear exponential distribution: A new generalization of the linear exponential distribution. Communications in Statistics-Simulation and Computation 43 (10):2661–77. doi:10.1080/03610918.2013.763978
   Web of Science ®Google Scholar