Reparameterized extended Maxwell regression: Properties, estimation and application

References

• Atkinson, A. C. 1985. Plots, transformations, and regression: An introduction to graphical methods of diagnostic regression analysis. Oxford: Clarendon Press.
   Google Scholar
• Braga, A. S., G. M. Cordeiro, E. M. M. Ortega, and J. N. da Cruz. 2016. The odd log-logistic normal distribution: Theory and applications in analysis of experiments. Journal of Statistical Theory and Practice 10 (2):311–35. doi:10.1080/15598608.2016.1141127.
   Web of Science ®Google Scholar
• Cook, R. D., and S. Weisberg. 1982. Residuals and influence in regression. Boca Raton, FL: Chapman & Hall/CRC.
   Google Scholar
• Cordeiro, G. M., E. M. M. Ortega, and G. O. Silva. 2011. The exponentiated generalized gamma distribution with application to lifetime data. Journal of Statistical Computation and Simulation 81 (7):827–42. doi:10.1080/00949650903517874.
   Web of Science ®Google Scholar
• Cordeiro, G. M., M. Alizadeh, G. Ozel, B. Hosseini, E. M. M. Ortega, and E. Altun. 2017. The generalized odd log-logistic family of distributions: Properties, regression models and applications. Journal of Statistical Computation and Simulation 87 (5):908–32. doi:10.1080/00949655.2016.1238088.
   Web of Science ®Google Scholar
• da Cruz, J. N., E. M. M. Ortega, and G. M. Cordeiro. 2016. The log-odd log-logistic Weibull regression model: Modelling, estimation, influence diagnostics and residual analysis. Journal of Statistical Computation and Simulation 86 (8):1516–38. doi:10.1080/00949655.2015.1071376.
   Web of Science ®Google Scholar
• Dey, D., and L. Birmiwal. 1994. Robust Bayesian analysis using divergence measures. Statistics & Probability Letters 20 (4):287–94. doi:10.1016/0167-7152(94)90016-7.
   Web of Science ®Google Scholar
• Dunn, P. K., and G. K. Smyth. 1996. Randomized quantile residuals. Journal of Computational and Graphical Statistics 5:236–44.
   Google Scholar
• Gelfand, A. E., D. K. Dey, and H. Chang. 1992. Model determination using predictive distributions with implementation via sampling-based methods. In Bayesian statistics, vol. 4, 147–67 (Peñíscola, 1991). New York: Oxford Univ. Press.
   Google Scholar
• Jørgensen, B. 1982. Statistical properties of the generalized inverse gaussian distribution. New York, NY: Springer.
   Google Scholar
• Mudholkar, G. S., and D. K. Srivastava. 1993. Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Transactions on Reliability 42 (2):299–302. doi:10.1109/24.229504.
   Web of Science ®Google Scholar
• Peng, F., and D. Dey. 1995. Bayesian analysis of outlier problems using divergence measures. Canadian Journal of Statistics 23 (2):199–213. doi:10.2307/3315445.
   Web of Science ®Google Scholar
• Prataviera, F., A. M. Silva, E. J. Cardoso, G. M. Cordeiro, and E. M. M. Ortega. 2021. A novel generalized odd log-logistic Maxwell-based regression with application to microbiology. Applied Mathematical Modelling 93:148–64. doi:10.1016/j.apm.2020.12.003.
   Web of Science ®Google Scholar
• Prataviera, F., E. M. M. Ortega, and G. M. Cordeiro. 2020. A New Bimodal Maxwell Regression Model With Engineering Applications. Applied Mathematics & Information Sciences 14:817–31.
   Google Scholar
• Prataviera, F., E. M. M. Ortega, G. M. Cordeiro, and A. D. S. Braga. 2019. The heteroscedastic odd log-logistic generalized gamma regression model for censored data. Communications in Statistics - Simulation and Computation 48 (6):1815–39. doi:10.1080/03610918.2018.1423695.
   Web of Science ®Google Scholar
• Sánchez, L., V. Leiva, M. Galea, and H. Saulo. 2021. Birnbaum-Saunders quantile regression and its diagnostics with application to economic data. Applied Stochastic Models in Business and Industry 37 (1):53–73. doi:10.1002/asmb.2556.
   Web of Science ®Google Scholar
• Santos-Neto, M., F. J. A. Cysneiros, V. Leiva, and M. Barros. 2016. Reparameterized Birnbaum-Saunders regression models with varying precision. Electronic Journal of Statistics 10 (2):2825–55. doi:10.1214/16-EJS1187.
   Web of Science ®Google Scholar
• Saulo, H., A. Dasilva, V. Leiva, L. Sánchez, and H. Fuente-Mella. 2021. Log-symmetric quantile regression models. Statistica Neerlandica. doi:10.1111/stan.12243.
   PubMed Web of Science ®Google Scholar
• Suzuki, A. K., V. G. Cancho, and F. Louzada. 2016. The Poisson–Inverse-Gaussian regression model with cure rate: A Bayesian approach and its case influence diagnostics. Statistical Papers 57 (1):133–59. doi:10.1007/s00362-014-0649-8.
   Web of Science ®Google Scholar