Danúbia R. Cunha, Jose A. Divino, Helton Saulo
arXiv 7 Mar 2021 · Statistics — Methodology · publishedJournal of Applied Statistics (2021)
arXiv:2103.04449 · PDF · DOI · OpenAlex · Extracted main text
The classic censored regression model (tobit model) has been widely used in the economic literature. This model assumes normality for the error distribution and is not recommended for cases where positive skewness is present. Moreover, in regression analysis, it is well-known that a quantile regression approach allows us to study the influences of the explanatory variables on the dependent variable considering different quantiles. Therefore, we propose in this paper a quantile tobit regression model based on quantile-based log-symmetric distributions. The proposed methodology allows us to model data with positive skewness (which is not suitable for the classic tobit model), and to study the influence of the quantiles of interest, in addition to accommodating heteroscedasticity. The model parameters are estimated using the maximum likelihood method and an elaborate Monte Carlo study is performed to evaluate the performance of the estimates. Finally, the proposed methodology is illustrated using two female labor supply data sets. The results show that the proposed log-symmetric quantile tobit model has a better fit than the classic tobit model.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Barros, M., Galea, M., Leiva, V., and Santos-Neto, M (2018) Generalized tobit models: Diagnostics and application in econometrics | 0.874 | 6 | 2 | 100% |
| 2 | Saulo, H., Dasilva, A., Leiva, V., and Sánchez, L (2020) Log-symmetric quantile regression models self | 0.874 | 5 | 2 | 100% |
| 3 | Vanegas, L. H. and Paula, G. A (2016) Log-symmetric distributions: statistical properties and parameter estimation | 0.737 | 3 | 2 | 100% |
| 4 | Long, J. S (1997) Regression Models for Categorical and Limited Dependent Variables | 0.644 | 2 | 2 | 100% |
| 5 | R Core Team (2020) R: A Language and Environment for Statistical Computing | 0.644 | 2 | 2 | 100% |
| 6 | Tobin, J (1958) Estimation of relationships for limited dependent variables | 0.511 | 2 | 1 | 100% |
| 7 | Greene, W. H (2012) Econometric Analysis | 0.405 | 1 | 1 | 100% |
| 8 | Heller, G., Stasinopoulos, M., and Rigby, B (2006) The zero-adjusted inverse gaussian distribution as a model for insurance claims | 0.405 | 1 | 1 | 100% |
| 9 | Silva, G. O., Ortega, E. M., and Cordeiro, G. M (2009) A log-extended weibull regression model | 0.405 | 1 | 1 | 100% |
| 10 | Stute, W (1992) Strong consistency of the mle under random censoring | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 47 scored citations.