arXiv 28 Feb 2023 · Econometrics · publishedEmpirical Economics (2023) · 1 citations (OpenAlex)
arXiv:2302.14380 · PDF · DOI · OpenAlex · Extracted main text
This paper proposes a linear categorical random coefficient model, in which the random coefficients follow parametric categorical distributions. The distributional parameters are identified based on a linear recurrence structure of moments of the random coefficients. A Generalized Method of Moments estimation procedure is proposed also employed by Peter Schmidt and his coauthors to address heterogeneity in time effects in panel data models. Using Monte Carlo simulations, we find that moments of the random coefficients can be estimated reasonably accurately, but large samples are required for estimation of the parameters of the underlying categorical distribution. The utility of the proposed estimator is illustrated by estimating the distribution of returns to education in the U.S. by gender and educational levels. We find that rising heterogeneity between educational groups is mainly due to the increasing returns to education for those with postsecondary education, whereas within group heterogeneity has been rising mostly in the case of individuals with high school or less education.
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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 | Lemieux, T (2006) Post-secondary education and increasing wage inequality | 1.000 | 6 | 3 | 100% |
| 2 | Beran, R. and P. Hall (1992) Estimating coefficient distributions in random coefficient regressions | 0.874 | 6 | 2 | 100% |
| 3 | Lemieux, T (2006) Postsecondary education and increasing wage inequality | 0.811 | 4 | 2 | 100% |
| 4 | Breunig, C. and S. Hoderlein (2018) Specification testing in random coefficient models | 0.737 | 3 | 2 | 100% |
| 5 | Beran, R (1993) Semiparametric random coefficient regression models | 0.511 | 2 | 1 | 100% |
| 6 | Beran, R. and P. W. Millar (1994) Minimum distance estimation in random coefficient regression models | 0.511 | 2 | 1 | 100% |
| 7 | Beran, R., A. Feuerverger, and P. Hall (1996) On nonparametric estimation of intercept and slope distributions in random coefficient regression | 0.511 | 2 | 1 | 100% |
| 8 | Foster, A. and J. Hahn (2000) A consistent semiparametric estimation of the consumer surplus distribution | 0.511 | 2 | 1 | 100% |
| 9 | Hoderlein, S., J. Klemelä, and E. Mammen (2010) Analyzing the random coefficient model nonparametrically | 0.511 | 2 | 1 | 100% |
| 10 | Hoderlein, S., H. Holzmann, and A. Meister (2017) The triangular model with random coefficients | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 81 scored citations.