Ivan Fernandez-Val, Seoyun Hong
arXiv 16 May 2025 · Econometrics
arXiv:2505.10814 · PDF · DOI · OpenAlex · Extracted main text
We develop a distribution regression model with a censored selection rule, offering a semi-parametric generalization of the Heckman selection model. Our approach applies to the entire distribution, extending beyond the mean or median, accommodates non-Gaussian error structures, and allows for heterogeneous effects of covariates on both the selection and outcome distributions. By employing a censored selection rule, our model can uncover richer selection patterns according to both outcome and selection variables, compared to the binary selection case. We analyze identification, estimation, and inference of model functionals such as sorting parameters and distributions purged of sample selection. An application to labor supply using data from the UK reveals different selection patterns into full-time and overtime work across gender, marital status, and time. Additionally, decompositions of wage distributions by gender show that selection effects contribute to a decrease in the observed gender wage gap at low quantiles and an increase in the gap at high quantiles for full-time workers. The observed gender wage gap among overtime workers is smaller, which may be driven by different selection behaviors into overtime work across genders.
appendix boundary found by appendix_command · 62% of the source is main text. Read the extracted text to check this.
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 | Maasoumi, E. and L. Wang (2019) The gender gap between earnings distributions | 0.737 | 3 | 2 | 100% |
| 2 | Blinder, A. S (1973) Wage discrimination: reduced form and structural estimates | 0.644 | 2 | 2 | 100% |
| 3 | Kitagawa, E. M (1955) Components of a difference between two rates | 0.644 | 2 | 2 | 100% |
| 4 | Mulligan, C. B. and Y. Rubinstein (2008) Selection, investment, and women's relative wages over time | 0.644 | 2 | 2 | 100% |
| 5 | Oaxaca, R (1973) Male-female wage differentials in urban labor markets | 0.644 | 2 | 2 | 100% |
| 6 | Blundell, R., H. Reed, and T. M. Stoker (2003) Interpreting aggregate wage growth: The role of labor market participation | 0.585 | 3 | 1 | 100% |
| 7 | Blundell, R., A. Gosling, H. Ichimura, and C. Meghir (2007) Changes in the distribution of male and female wages accounting for employment composition using bounds | 0.585 | 3 | 1 | 100% |
| 8 | van der Vaart, A. W. and J. A. Wellner (1996) Weak Convergence and Empirical Processes | 0.511 | 2 | 2 | 50% |
| 9 | Arellano, M. and S. Bonhomme (2017) Quantile selection models with an application to understanding changes in wage inequality | 0.511 | 2 | 1 | 100% |
| 10 | Chen, S., N. Liu, H. Zhang, and Y. Zhou (2024) Estimation of wage inequality in the UK by quantile regression with censored selection | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 36 scored citations.