Nonparametric and Semiparametric Estimation of Upward Rank Mobility Curves
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911181363478528 |
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| author | Lai, Tsung-Chih Shih, Jia-Han Chen, Yi-Hau |
| author_facet | Lai, Tsung-Chih Shih, Jia-Han Chen, Yi-Hau |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonparametric and Semiparametric Estimation of Upward Rank Mobility Curves Lai, Tsung-Chih Shih, Jia-Han Chen, Yi-Hau Econometrics 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. |
| title | Nonparametric and Semiparametric Estimation of Upward Rank Mobility Curves |
| topic | Econometrics |
| url | https://arxiv.org/abs/2509.23174 |