A generalized ordered Probit model

References

• Chen, S., and S. Khan. 2003. Rates of convergence for estimating regression coefficients in heteroskedastic discrete response models. Journal of Econometrics 117 (2):245–78. doi:10.1016/S0304-4076(03)00148-9.
   Web of Science ®Google Scholar
• Chiswick, B. 1991. Speaking, reading, and earnings among low-skilled immigrants. Journal of Labor Economics 9 (2):149–70. http://www.jstor.org/stable/2535238. doi:10.1086/298263.
   Web of Science ®Google Scholar
• Coppejans, M. 2007. On efficient estimation of the ordered response model. Journal of Econometrics 137 (2):577–614. doi:10.1016/j.jeconom.2005.10.003.
   Web of Science ®Google Scholar
• Donat, F., and G. Marra. 2017. Semi-parametric bivariate polychotomous ordinal regression. Statistics and Computing 27 (1):283–99. doi:10.1007/s11222-015-9622-1.
   Web of Science ®Google Scholar
• Donat, F., and G. Marra. 2018. Simultaneous equation penalized likelihood estimation of vehicle accident injury severity. Journal of the Royal Statistical Society: Series C 67 (3). doi:10.1111/rssc.12267.
   PubMed Web of Science ®Google Scholar
• Greene, W., and D. Hansher. 2010. Modeling ordered choices: A primer. Cambridge, MA: Cambridge University Press.
   Google Scholar
• Hansen, B. 1994. Autoregressive conditional density estimation. International Economic Review 35 (3):705–30. http://www.jstor.org/stable/2527081. doi:10.2307/2527081.
   Web of Science ®Google Scholar
• Hansen, C., J. B. McDonald, and W. K. Newey. 2010. Instrumental variables estimation with flexible distributions. Journal of Business and Economic Statistics 28 (1):13–25. http://www.jstor.org/stable/2527081. doi:10.1198/jbes.2009.06161.
   Web of Science ®Google Scholar
• Hodge, A., and S. Shankar. 2014. Partial effects in ordered response models with factor variables. Econometric Reviews 33 (8):854–68. doi:10.1080/07474938.2013.806157.
   Web of Science ®Google Scholar
• Klein, R., and R. Sherman. 2002. Shift restrictions and semiparametric estimation in ordered response models. Econometrica 70 (2):663–91. doi:10.1111/1468-0262.00299.
   Web of Science ®Google Scholar
• Lemp, J. D., K. M. Kockelman, and A. Unnikrishnan. 2011. Analysis of large truck crash severity using heteroskedastic ordered probit models. Accident and Analysis Prevention 43 (1):370–80. doi:10.1016/j.aap.2010.09.006.
   PubMed Web of Science ®Google Scholar
• Lewbel, A. 2000. Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables. Journal of Econometrics 97 (1):145–77. doi:10.1016/S0304-4076(00)00015-4.
   Web of Science ®Google Scholar
• Lewbel, A. 2003. Ordered response threshold estimation. Working Paper. https://www2.bc.edu/arthur-lewbel/thresh3.pdf.
   Google Scholar
• Kerman, S., and J. B. McDonald. 2013. Skewness-kurtosis bounds for the skewed generalized t and related distributions. Statistics and Probability Letters 83 (9):2129–34. doi:10.1016/j.spl.2013.05.028.
   Web of Science ®Google Scholar
• Matzkin, R. 1993. Nonparametric identification and estimation of polytchotomous choice models. Journal of Econometrics 58 (1–2):137–68. doi:10.1016/0304-4076(93)90116-M.
   Web of Science ®Google Scholar
• McDonald, J. B., and W. K. Newey. 1988. Partially adaptive estimation of regression models via the generalized t distribution. Econometric Theory 4 (03):428–57. http://www.jstor.org/stable/3532334. doi:10.1017/S0266466600013384.
   Web of Science ®Google Scholar
• Mora, J., and A. Moro-Egido. 2008. On specification testing of ordered discrete choice models. Journal of Econometrics 143 (1):191–205. doi:10.1016/j.jeconom.2007.08.004.
   Web of Science ®Google Scholar
• Pudney, S., and M. Shields. 2000. Gender, race, pay and promotion in the British nursing professions: Estimation of a generalized ordered probit model. Journal of Applied Econometrics 15 (4):367–99. doi:10.1002/1099-1255(200007/08)15:4 < 367::AID-JAE563 > 3.0.CO;2-Z.
   Web of Science ®Google Scholar
• Rigby, R., and D. Stasinopoulos. 2005. Generalized additive models for location, scale, and shape. Journal of the Royal Statistical Society: Series C (Applied Statistics) 54 (3):507–54. doi:10.1111/j.1467-9876.2005.00510.x.
   Web of Science ®Google Scholar
• Theodossiou, P. 1998. Financial data and the skewed generalized t distribution. Management Science 44 (12-part-1):1650–1. http://www.jstor.org/stable/2634700.
   Web of Science ®Google Scholar
• Wood, S., N. Pya, and B. Säfken. 2016. Smoothing parameters and model selection for general smooth models. Journal of the American Statistical Association 111 (516):1548–75. doi:10.1080/01621459.2016.1180986.
   Web of Science ®Google Scholar
• Yee, T., and C. Wild. 1996. Vector generalized additive models. Journal of the Royal Statistical Society: Series B 58 (3):481–93. http://www.jstor.org/stable/2345888. doi:10.1111/j.2517-6161.1996.tb02095.x.
   Google Scholar
• Zeimuller, J., and R. Winter-Ebmer. 1994. Gender wage differentials in private and public sector jobs. Journal of Population Economics 7 (3):271–85. doi:10.1007/BF00517300.
   PubMed Web of Science ®Google Scholar