arXiv 28 Apr 2025 · Econometrics · 1 citations (OpenAlex)
arXiv:2504.19832 · PDF · DOI · OpenAlex · Extracted main text
This paper analyzes a model in which an outcome equals a frontier function of inputs minus a nonnegative unobserved deviation. We allow the distribution of the deviation to depend on inputs. If zero lies in the support of the deviation given inputs -- an assumption we term assignment at the frontier -- then the frontier is identified by the supremum of the outcome at those inputs, obviating the need for instrumental variables. We then estimate the frontier, allowing for random error whose distribution may also depend on inputs. Finally, we derive a lower bound on the mean deviation, using only variance and skewness, that is robust to a scarcity of data near the frontier. We apply our methods to estimate a firm-level frontier production function and mean inefficiency.
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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 | Olley, G Steven and Pakes, Ariel (1996) The Dynamics of Productivity in the Telecommunications Equipment Industry | 0.737 | 3 | 2 | 100% |
| 2 | Parmeter, Christopher F. and Simar, Léopold and Van Keilegom, Ingrid… (2024) Inference in the nonparametric stochastic frontier model | 0.737 | 3 | 2 | 100% |
| 3 | Aigner, Dennis and Lovell, CA Knox and Schmidt, Peter (1977) Formulation and estimation of stochastic frontier production function models | 0.644 | 2 | 2 | 100% |
| 4 | Fan, Jianqing and Yao, Qiwei (1998) Efficient estimation of conditional variance functions in stochastic regression | 0.644 | 2 | 2 | 100% |
| 5 | Gandhi, Amit and Navarro, Salvador and Rivers, David A (2020) On the identification of gross output production functions | 0.644 | 2 | 2 | 100% |
| 6 | Hall, Peter and Carroll, Raymond J (1989) Variance function estimation in regression: the effect of estimating the mean | 0.644 | 2 | 2 | 100% |
| 7 | Levinsohn, James and Petrin, Amil (2003) Estimating production functions using inputs to control for unobservables | 0.644 | 2 | 2 | 100% |
| 8 | Olson, Jerome A and Schmidt, Peter and Waldman, Donald M (1980) A Monte Carlo study of estimators of stochastic frontier production functions | 0.644 | 2 | 2 | 100% |
| 9 | Ben-Moshe, Dan and Genesove, David (2026) Unbiased Estimation of Central Moments in Unbalanced Two- and Three-Level Models self | 0.511 | 2 | 2 | 50% |
| 10 | Ben-Moshe, Dan and Genesove, David (2026) Regulation and frontier housing supply self | 0.511 | 2 | 2 | 50% |
Showing the top 10 of 59 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Unbiased Estimation of Central Moments in Unbalanced Two- and Three-Level Models | 0.405 | 1 | 1 |