On a log-symmetric quantile tobit model applied to female labor supply data

References

• T. Amemiya, Tobit models: A survey, J. Econom. 24 (1984), pp. 3–61.
   Web of Science ®Google Scholar
• M. Barros, M. Galea, V. Leiva, and M. Santos-Neto, Generalized tobit models: diagnostics and application in econometrics, J. Appl. Stat. 45 (2018), pp. 145–167.
   Web of Science ®Google Scholar
• R. Barros, J. Jatobá, and R. Mendonça, A evolução da participação de mulheres no mercado de trabalho: uma análise de decomposição, Proceedings of the 4th National Meeting of Labor Studies, Brazilian Association of Labor Studies, 1995.
   Google Scholar
• D. Cox and D. Hinkley, Theoretical Statistics, Chapman and Hall, London, 1974.
   Google Scholar
• C. Davino, M. Furno, and D. Vistocco, Quantile Regression, Wiley, Chichester, 2014.
   Google Scholar
• M.F. Desousa, H. Saulo, V. Leiva, and P. Scalco, On a tobit-Birnbaum-Saunders model with an application to medical data, J. Appl. Stat. 45 (2018), pp. 932–955.
   Web of Science ®Google Scholar
• R. Fair, A note on computation of the tobit estimator, Econometrica 45 (1977), pp. 1723–1727.
   Web of Science ®Google Scholar
• R. Fair, A theory of extramarital affairs, J. Political Econom. 86 (1978), pp. 45–61.
   Web of Science ®Google Scholar
• M. Geraci, Qtools: A collection of models and tools for quantile inference, R. J. 8 (2016), pp. 117–138.
   Google Scholar
• W. Gilchrist, Statistical Modelling with Quantile Functions, 1st ed., Chapman & Hall/CRC, Boca Raton, FL, 2000.
   Google Scholar
• W.H. Greene, Econometric Analysis, 7th ed., Pearson Education, New York, NY, 2012.
   Google Scholar
• L. Hao and D. Naiman, Quantile Regression, Sage Publications, California, 2007.
   Google Scholar
• J.J. Heckman and T.E. MaCurdy, A life cycle model of female labor supply, Rev. Econom. Stud. 47 (1980), pp. 47–74.
   Web of Science ®Google Scholar
• D.R. Helsel, Statistics for Censored Environmental Data Using Minitab and R, John Wiley & Sons, Hoboken, NJ, 2011.
   Google Scholar
• ILO, World Employment and Social Outlook: Trends for Women 2018 - Global snapshot. International Labour Organization, Geneva, 2018.
   Google Scholar
• N Islam, A dynamic tobit model of female labor supply, Working Papers In Economics No 259, 2007. pp. 1–29.
   Google Scholar
• J. Jacobsen, Labor force participation, Q. Rev. Econ. Financ. 39 (1999), pp. 597–610.
   Google Scholar
• C. Jarque, An application of LDV models to household expenditure analysis in Mexico, J. Econom. 36 (1987), pp. 31–53.
   Web of Science ®Google Scholar
• M.C. Jones, On reciprocal symmetry, J. Stat. Plan. Inference. 138 (2008), pp. 3039–3043.
   Web of Science ®Google Scholar
• Y. Kano, M. Berkane, and P.M. Bentler, Statistical inference based on pseudo-maximum likelihood estimators in elliptical populations, J. Am. Stat. Assoc. 88 (1993), pp. 135–143.
   Web of Science ®Google Scholar
• R. Koenker, Quantile Regression, Cambridge University Press, Cambridge, 2005.
   Google Scholar
• R. Koenker, quantreg: Quantile Regression. R package version 5.85, 2021.
   Google Scholar
• R. Koenker and G. Bassett Jr, Regression quantiles, Econometrica 46 (1978), pp. 33–50.
   Web of Science ®Google Scholar
• J.S. Long, Regression Models for Categorical and Limited Dependent Variables, Sage Publications Inc., Thousand Oaks, 1997.
   Google Scholar
• A. Lucas, Robustness of the student t based M-estimator, Commun. Stat.: Theor. Meth. 41 (1997), pp. 1165–1182.
   Web of Science ®Google Scholar
• M.C. Medeiros and S.L.P. Ferrari, Small-sample testing inference in symmetric and log-symmetric linear regression models, Stat. Neerl. 71 (2017), pp. 200–224.
   Web of Science ®Google Scholar
• B. Melenberg and A. van Soest, Parametric and semi-parametric modelling of vacation expenditures, J. Appl. Econom. 11 (1996), pp. 59–76.
   Web of Science ®Google Scholar
• R. Moffitt, The tobit model, hours of work and institutional constraints, Rev. Econ. Stat. 64 (1982), pp. 510–515.
   Web of Science ®Google Scholar
• T. Mroz, The sensitiviy of an empirical model of married women's hours of work to economic and statistical assumptions, Econometrica 55 (1987), pp. 765–799.
   Web of Science ®Google Scholar
• L. Peng and Y. Huang, Survival analysis with quantile regression models, J. Amer. Stat. Assoc. 103 (2008), pp. 637–649.
   Web of Science ®Google Scholar
• S. Portnoy, Censored regression quantiles, J. Amer. Stat. Assoc. 98 (2003), pp. 1001–1012.
   Web of Science ®Google Scholar
• J.L. Powell, Censored regression quantiles, J. Econom. 32 (1986), pp. 143–155.
   Web of Science ®Google Scholar
• R Core Team. R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, 2020.
   Google Scholar
• J. Santos and F. Cribari-Neto, Hypothesis testing in log-Birnbaum-Saunders regressions, Commun. Stat. – Simul. Comput. 46 (2017), pp. 3990–4003.
   Web of Science ®Google Scholar
• H. Saulo, A. Dasilva, V. Leiva, L. Sánchez, and H.L. Fuente-Mella, Log-symmetric quantile regression models, Stat. Neerl. (2021a), pp. 1–40. https://doi.org/10.1111/stan.12243
   Web of Science ®Google Scholar
• H. Saulo, J. Leão, L. Nobre, and N. Balakrishnan, A class of asymmetric regression models for left-censored data, Brazilian J. Probab. Stat. 35 (2021b), pp. 62–84.
   Web of Science ®Google Scholar
• L.G. Scorzafave and N.A. Menezes-Filho, Participção feminina no mercado de trabalho brasileiro: evolução e determinantes, Pesquisa E Planejamento Econômico. 31 (2001), pp. 441–478.
   Google Scholar
• Y. Seung-Hoon, Analysing household bottled water and water purifier expenditures: simultaneous equation bivariate tobit model, Appl. Econ. Lett. 12 (2005), pp. 297–301.
   Web of Science ®Google Scholar
• G.O. Silva, E.M. Ortega, and G.M. Cordeiro, A log-extended weibull regression model, Comput. Stat. Data. Anal. 53 (2009), pp. 4482–4489.
   Web of Science ®Google Scholar
• W. Stute, Strong consistency of the mle under random censoring, Metrika 39 (1992), pp. 257–267.
   Google Scholar
• T. Therneau, P. Grambsch, and T. Fleming, Martingale-based residuals for survival models, Biometrika 77 (1990), pp. 147–160.
   Web of Science ®Google Scholar
• J. Tobin, Estimation of relationships for limited dependent variables, Econometrica 26 (1958), pp. 24–36.
   Web of Science ®Google Scholar
• L.H. Vanegas and G.A. Paula, A semiparametric approach for joint modeling of median and skewness, Test 24 (2015), pp. 110–135.
   Web of Science ®Google Scholar
• L.H. Vanegas and G.A. Paula, Log-symmetric distributions: statistical properties and parameter estimation, Brazilian J. Probab. Stat. 30 (2016a), pp. 196–220.
   Web of Science ®Google Scholar
• L.H. Vanegas and G.A. Paula, ssym: Fitting Semi-Parametric Log-Symmetric Regression Models, 2016b. R package version 1.5.7.
   Google Scholar
• L.H. Vanegas and G.A. Paula, Log-symmetric regression models under the presence of non-informative left- or right-censored observations, Test 26 (2017), pp. 405–428.
   Web of Science ®Google Scholar
• S. Weisberg, Applied Linear Regression, 4th ed., John Wiley & Sons, Hoboken, NJ, 2014.
   Google Scholar