Masamune Iwasawa, Hayato Nakanishi
arXiv 19 Oct 2026 · Econometrics
arXiv:2610.27224 · PDF · Extracted main text
Researchers often observe group quantiles but not group means, raising the question of whether these summaries alone support conventional regression analysis. We develop estimation and inference methods for linear models of group means under quantile-only and mixed disclosure. We establish conditions on disclosure design for consistent estimation and asymptotic normality at the parametric rate. Under fixed disclosure, we characterize sharp identified sets and construct simultaneous confidence regions, clarifying how informativeness depends on the number and placement of disclosed quantiles. Applications to education, social care, and medical expenditure illustrate the methods. The R package qonlyreg implements the proposed procedures.
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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 | Bahadur, R Raj (1966) A note on quantiles in large samples | 0.644 | 2 | 2 | 100% |
| 2 | Farebrother, Richard William (1979) Estimation with Aggregated Data | 0.644 | 2 | 2 | 100% |
| 3 | Kiefer, Jack (1967) On Bahadur's representation of sample quantiles | 0.644 | 2 | 2 | 100% |
| 4 | Li, Hao and Liu, Xinliang and Cui, Dan and Wang, Quan and Mao, Zongf… (2017) Estimating the Direct Medical Economic Burden of Health Care-Associated Infections in Public Tertiary Hospitals in Hubei Provinc… | 0.606 | 6 | 2 | 33% |
| 5 | Alonso, José M and Andrews, Rhys (2020) Political ideology and social services contracting: evidence from a regression discontinuity design | 0.511 | 2 | 2 | 50% |
| 6 | Atkinson, Kendall E (1989) An Introduction to Numerical Analysis | 0.511 | 2 | 2 | 50% |
| 7 | Cai, Siyu and Zhou, Jie and Pan, Jianxin (2021) Estimating the sample mean and standard deviation from order statistics and sample size in meta-analysis | 0.405 | 1 | 1 | 100% |
| 8 | Cowell, Frank A and Mehta, Fatemeh (1982) The estimation and interpolation of inequality measures | 0.405 | 1 | 1 | 100% |
| 9 | Department for Education (2024) Children in Need: Methodology | 0.405 | 1 | 1 | 100% |
| 10 | Department for Education (2026) Working Together to Safeguard Children 2026: A Guide to Multi-Agency Working to Help, Protect and Promote the Welfare of Children | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 27 scored citations.