Likelihood-based inference for the transmuted log-logistic model in the presence of right-censored data

References

• Aidi, K., and N. Seddik-Ameur. 2016. Chi-squared goodness-of-fit test for transmuted generalized linear exponential distribution. Global Journal of Pure and Applied Mathematics 12:3093–103.
   Google Scholar
• Aryal, G. R. 2013. Transmuted log-logistic distribution. Journal of Statistics Applications and Probability 2:11–20.
   Google Scholar
• Aryal, G. R., and C. P. Tsokos. 2009. On the transmuted extreme value distribution with applications. Nonlinear Analysis: Theory, Methods and Applications 71:1401–7.
   Web of Science ®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 4:89–102.
   Google Scholar
• Barlow, R. E., and B. Davis. 1977. Analysis of time between failures for repairable component. In: Nuclear Systems Reliability Engineering and Risk Assessment (J. B. Fussell and G. R. Burdick, eds.), pages 543–61. SIAM, Philadelphia.
   Google Scholar
• Barndorff-Nielsen, O. E. 1993. On a formula for the distribution of the maximum likelihood estimator. Biometrika 70:343–65.
   Google Scholar
• Barndorff-Nielsen, O. E., and D. R. Cox. 1994. Inference and Asymptotics London Chapman & Hall.
   Google Scholar
• Barndorff-Nielsen, O. E., and P. McCullagh. 1993. A note on the relation between modified profile likelihood and the Cox-Reid adjusted profile likelihood. Biometrika 80:321–8.
   Web of Science ®Google Scholar
• Bourguignon, M., I. Ghosh, and G. M. Cordeiro. 2016. General results for the transmuted family of distributions and new models. Journal of Probability and Statistics 2016 (1):1–12.
   Google Scholar
• Brickner, S. J. 1996. Oxazolidinone antibacterial agents. Current Pharmaceutical Design 2:175–94.
   Web of Science ®Google Scholar
• Cox, D., and N. Reid. 1987. Parameter orthogonality and approximate conditional inference. Journal of the Royal Statistical Society, Series B 49:1–39.
   Google Scholar
• Das, K. K. 2015. On some generalised transmuted distributions. International Journal of Scientific and Engineering Research 6:1686–91.
   Google Scholar
• Efron, B., and R. J. Tibshirani. 1993. An Introduction to the Bootstrap. New YorkChapman & Hall
   Google Scholar
• Fachini, B. J., E. M. M. Ortega, and F. Louzada. 2008. Influence diagnostics for polyhazard models in the presence of covariates. Statistical Methods and Applications 17:413–33.
   Web of Science ®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 44:3387–402.
   Web of Science ®Google Scholar
• Khan, M. S., R. King, and I. L. Hudson. 2017. Transmuted weibull distribution: properties and estimation. Communications in Statistics - Theory and Methods 46:5394–418.
   Web of Science ®Google Scholar
• Lawless, J. F. 2003. Statistical Models and Methods for Lifetime Data. HobokenJohn Wiley & Sons
   Google Scholar
• Lee, S. Y., B. Lu, and X. Y. Song. 2006. Assessing local influence for nonlinear structural equation models with ignorable missing data. Computational Statistics and Data Analysis 50:1356–77.
   Web of Science ®Google Scholar
• Nofal, Z. M., A. Z. Afify, H. M. Yousof, D. C. T. Granzotto, and F. Louzada. 2016. Kumaraswamy transmuted exponentiated additive Weibul distribution. International Journal of Statistics and Probability 5:78–99.
   Google Scholar
• Pal, M., and M. Tiensuwan. 2014. The beta transmuted Weibull distribution. Austrian Journal of Statistics 43:133–49.
   Google Scholar
• Severini, T. 1998. An approximation to the modified profile likelihood function. Biometrika 85:403–11.
   Web of Science ®Google Scholar
• Shaw, W. T., and I. R. C. Buckley. 2007. The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. UCL Discovery Repository, 1–16.
   Google Scholar
• Tahir, M. H., and G. M. Cordeiro. 2016. Compounding of distributions: a survey and new generalized classes. Journal of Statistical Distributions and Applications 3:1–35.
   Google Scholar
• Therneau, T. M., P. M. Grambsch, and T. R. Fleming. 1990. Martingale-based residuals for survival models. Biometrika 77:147–60.
   Web of Science ®Google Scholar
• Venzon, D. J., and S. H. Moolgavkar. 1988. A method for computing profile-likelihood-based confidence intervals. Journal of the Royal Statistical Society, Series C 37:87–94.
   Web of Science ®Google Scholar
• Wilson, A. P. R., J. A. Cepeda, S. Hayman, T. Whitehouse, M. Singer, and G. Bellingan. 2006. In vitro susceptibility of Gram-positive pathogens to linezolid and teicoplanin and effect on outcome in critically ill patients. Journal of Antimicrobial Chemotherapy 58:470–3.
   PubMed Web of Science ®Google Scholar