---
title: "Heckman selection model: formula and 10 recent papers"
description: "Heckman selection model was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/heckman-selection-model
markdown_url: https://scholar4ai.com/equations/heckman-selection-model.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Heckman selection model was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:52:47+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Heckman selection model

$$
E[y_i \mid x_i, s_i = 1] = x_i^\top\beta + \rho\,\sigma_\varepsilon\,\lambda(z_i^\top\gamma),\quad \lambda(\cdot) = \frac{\phi(\cdot)}{\Phi(\cdot)}
$$

Corrects for non-random selection of the observed sample with the inverse Mills ratio from a first-stage probit.

- area: Causal inference
- 2 papers in the last 7 days
- Names searched for: Heckman selection, Heckman two-step, Heckman two-stage, Heckman correction, Heckman model, inverse Mills ratio, sample selection model

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- Heckman selection model was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned.
- By journal category: Management (4), Finance (3) and Economics (3).
- Most of them appeared in International Review of Economics & Finance (2), Asia Pacific Journal of Management (1) and Management Review Quarterly (1).
- Often mentioned together with Propensity score matching (8), Instrumental variables (two-stage least squares) (7) and Ordinary least squares (OLS) (4).
- Datasets named in the same papers: CSMAR (2), CNRDS (2) and Wind (2).
- From Oct 2023 to Sep 2026, 39 archived papers mentioned Heckman selection model in their title, abstract or keywords, most of them in Sep 2026 (7).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 8 | 23 | 8 | 39 |

*Papers mentioning Heckman selection model, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [Managerial slack, information environment and stock price crash risk: Evidence from China](https://doi.org/10.1016/j.iref.2026.106011) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Chuyue Wu, Yuyang Ling, Yikai Han | Central University of Finance and Economics |
| 2026-10-21 | [Pressures from afar, and far from pressured? International shareholder and stakeholder pressures and female board appointments](https://doi.org/10.1007/s10490-026-10198-7) | [Asia Pacific Journal of Management](https://scholar4ai.com/journals/asia-pacific-journal-of-management.md) | Guoliang Frank Jiang, Yang Yang, Shige Makino | Carleton University; Rowan University; Kyoto University |
| 2026-10-15 | [Understanding the determinants and consequences of share-pledging: a systematic literature review and future research agenda](https://doi.org/10.1007/s11301-026-00643-8) | [Management Review Quarterly](https://scholar4ai.com/journals/management-review-quarterly.md) | Rohith Radhakrishnan, E Geetha, Agnes S. Joseph | Manipal Academy of Higher Education; Narsee Monjee Institute of Management Studies |
| 2026-10-03 | [Relief policies for equity pledge and corporate innovation: Evidence from Chinese non-state-owned high-tech listed firms](https://doi.org/10.1016/j.iref.2026.105938) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Deqiang Deng, Yuli Wang, Jiawei Liu et al. | Nanjing Forestry University; Central University of Finance and Economics; Newcastle University; … |
| 2026-10-01 | [Stock benchmarking and corporate ESG performance](https://doi.org/10.1016/j.eap.2026.10.001) | [Economic Analysis and Policy](https://scholar4ai.com/journals/economic-analysis-and-policy.md) | Jiliang Sheng, Lanlan Zeng, Miao Li et al. | Jiangxi University of Finance and Economics |
| 2026-10-01 | [Ambidextrous innovation and digital transformation](https://doi.org/10.1016/j.jik.2026.101171) | [Journal of Innovation & Knowledge](https://scholar4ai.com/journals/journal-of-innovation-knowledge.md) | Yaoxiang Tang, Yutao Zhou, Fan Yu et al. | Chongqing Technology and Business University; Shanghai University of Engineering Science |
| 2026-10-01 | [CEO Inherited Altruism, Firm Corporate Social Responsibility, and Shareholder Returns](https://doi.org/10.1007/s10551-026-06475-6) | [Journal of Business Ethics](https://scholar4ai.com/journals/journal-of-business-ethics.md) | Miriam Marra, Jing Ruan, Lisa Schopohl et al. | ICMA Centre; University of Reading; KIMEP University; … |
| 2026-09-30 | [Artificial intelligence and labor investment efficiency: evidence from U.S. firms](https://doi.org/10.1016/j.jimonfin.2026.103684) | [Journal of International Money and Finance](https://scholar4ai.com/journals/journal-of-international-money-and-finance.md) | Kai Xing, Kepeng Xiong, Fulong Xiao et al. | Nanchang University; Bangor University |
| 2026-09-29 | [Elderly care across Europe: The role of formal and informal care in family decision-making](https://doi.org/10.1007/s11150-026-09886-6) | [Review of Economics of the Household](https://scholar4ai.com/journals/review-of-economics-of-the-household.md) | Manuel V. Montesinos | Rockwool Foundation Berlin |
| 2026-09-28 | [Treatment evaluation at the intensive and extensive margins](https://doi.org/10.1016/j.jeconom.2026.106344) | [Journal of Econometrics](https://scholar4ai.com/journals/journal-of-econometrics.md) | Phillip Heiler, Asbjørn Kaufmann, Bezirgen Veliyev | Aarhus University |

## Cite this page

Scholar4AI. (2026). Heckman selection model. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/heckman-selection-model

```bibtex
@misc{scholar4ai-equations-heckman-selection-model,
  author = {{Scholar4AI}},
  title = {Heckman selection model},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/heckman-selection-model}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).
