Tsung-Chih Lai, Jia-Han Shih, Yi-Hau Chen
arXiv 27 Sep 2025 · Econometrics
arXiv:2509.23174 · PDF · DOI · OpenAlex · Extracted main text
We introduce the upward rank mobility curve as a new measure of intergenerational mobility that captures upward movements across the entire parental income distribution. Our approach extends Bhattacharya and Mazumder (2011) by conditioning on a single parental income rank, thereby eliminating aggregation bias. We show that the measure can be characterized solely by the copula of parent and child income, and we propose a nonparametric copula-based estimator with better properties than kernel-based alternatives. For a conditional version of the measure without such a representation, we develop a two-step semiparametric estimator based on distribution regression and establish its asymptotic properties. An application to U.S. data reveals that whites exhibit significant upward mobility dominance over blacks among lower-middle-income families.
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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 | Bhattacharya, D. and B. Mazumder (2011) A nonparametric analysis of black-white differences in intergenerational income mobility in the United States | 1.000 | 11 | 6 | 100% |
| 2 | Chernozhukov, V., I. Fernández-Val, and B. Melly (2013) Inference on Counterfactual Distributions | 0.941 | 6 | 3 | 83% |
| 3 | Deutscher, N. and B. Mazumder (2023) Measuring Intergenerational Income Mobility: A Synthesis of Approaches | 0.811 | 4 | 2 | 100% |
| 4 | Sancetta, A. and S. Satchell (2004) The Bernstein copula and its applications to modeling and approximations of multivariate distributions | 0.737 | 3 | 2 | 100% |
| 5 | Janssen, P., J. Swanepoel, and N. Veraverbeke (2016) Bernstein estimation for a copula derivative with application to conditional distribution and regression functionals | 0.644 | 4 | 1 | 100% |
| 6 | Callaway, B., T. Li, and I. Murtazashvili (2024) Distributional Effects with Two-Sided Measurement Error: An Application to Intergenerational Income Mobility *, Tech | 0.644 | 2 | 2 | 100% |
| 7 | Chetty, R., D. Grusky, M. Hell, N. Hendren, R. Manduca, and J. Narang (2017) The fading American dream: Trends in absolute income mobility since 1940 | 0.644 | 2 | 2 | 100% |
| 8 | Foresi, S. and F. Peracchi (1995) The Conditional Distribution of Excess Returns: An Empirical Analysis | 0.644 | 2 | 2 | 100% |
| 9 | Millimet, D. L., H. Li, and P. Roychowdhury (2020) Partial Identification of Economic Mobility: With an Application to the United States | 0.511 | 2 | 1 | 100% |
| 10 | Aaberge, R. and M. Mogstad (2014) Income mobility as an equalizer of permanent income, Tech | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 39 scored citations.