---
title: "Quantile regression: formula and 48 recent papers"
description: "Quantile regression was mentioned in 48 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #22 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/quantile-regression
markdown_url: https://scholar4ai.com/equations/quantile-regression.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T13:22:50+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Quantile regression

$$
\hat\beta_\tau = \operatorname*{arg\,min}_{\beta} \sum_{i} \rho_\tau(y_i - x_i^\top\beta),\quad \rho_\tau(u) = u\,(\tau - \mathbf{1}\{u < 0\})
$$

Estimates how regressors shift a chosen quantile of the outcome rather than its mean.

- area: Regression models
- 5 papers in the last 7 days
- Names searched for: quantile regression, quantile-on-quantile

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

## Key findings

- Quantile regression was mentioned in 48 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #22 of the 104 equations and models mentioned.
- By journal category: Economics (20), Finance (16), Management (5), AI (3), Accounting (2) and Operations Research (2).
- Most of them appeared in International Review of Economics & Finance (5), Future Business Journal (3) and Energy Economics (3).
- Often mentioned together with Ordinary least squares (OLS) (14), Logistic regression (logit) (9) and Vector autoregression (VAR) (8).
- Datasets named in the same papers: Economic Policy Uncertainty index (8), World Development Indicators (World Bank) (6) and Geopolitical Risk index (5).
- From Apr 2024 to Sep 2026, 265 archived papers mentioned Quantile regression in their title, abstract or keywords, most of them in Jul 2025 (23).

## Mentions over 30 months

*Papers mentioning it by publication month, Apr 2024 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Apr 24–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 30 months |
|---|---:|---:|---:|---:|
|  | 75 | 176 | 14 | 265 |

*Papers mentioning Quantile regression, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [Dynamic prediction of loss given default in Norwegian retail credit card debt: advanced machine learning versus statistical models](https://doi.org/10.1007/s42521-026-00230-2) | [Digital Finance](https://scholar4ai.com/journals/digital-finance.md) | Cathy Ho, Isabel A. C. Sandersen, Espen Selliken et al. | Norwegian University of Science and Technology |
| 2026-10-22 | [Linear-Quadratic Expectile Regression Model](https://doi.org/10.1007/s10614-026-11448-y) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Chen Ji, Xiaoying Zhou, Panjing Song | Hainan Normal University |
| 2026-10-22 | [Income responsiveness of household energy expenditure across life-cycle stages: Evidence from China](https://doi.org/10.1016/j.enpol.2026.115669) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Danhong Ma, Weizhen Ren, Zilong Zhang | Lanzhou University; Henan University |
| 2026-10-21 | [Does financial development have a heterogeneous impact on income inequality? evidence from panel quantile regression](https://doi.org/10.1007/s12197-026-09791-9) | [Journal of Economics and Finance](https://scholar4ai.com/journals/journal-of-economics-and-finance.md) | Prakashani Singh, Shobhana Sikhawal | Indian Institute of Technology Kanpur; Birla Institute of Technology and Science - Hyderabad Campus; Birla Institute of Technology and Science, Pilani |
| 2026-10-21 | [The gendered inequality impact of the cost-of-living crisis: a comparative analysis](https://doi.org/10.1007/s10888-026-09754-4) | [The Journal of Economic Inequality](https://scholar4ai.com/journals/the-journal-of-economic-inequality.md) | Denisa Maria Sologon, Karina Doorley, Iryna Kyzyma et al. | Luxembourg Institute of Socio-Economic Research; Trinity College Dublin; Ollscoil na Gaillimhe – University of Galway |
| 2026-10-17 | [Threshold asymmetries in Nigeria’s inflation dynamics](https://doi.org/10.1007/s10258-026-00300-8) | [Portuguese Economic Journal](https://scholar4ai.com/journals/portuguese-economic-journal.md) | Ali Umar Ahmad, Bashir Yakubu Sani, Ahmad Rajab Jwailes et al. | Universiti Malaysia Terengganu; Maryam Abacha American University of Nigeria; China University of Geosciences; … |
| 2026-10-16 | [Resilient or unstable? Real rate regimes in emerging markets](https://doi.org/10.1007/s00181-026-02977-4) | [Empirical Economics](https://scholar4ai.com/journals/empirical-economics.md) | Türker BATMAZ, Alper Gormus, Elif Hilal Nazlıoğlu | Balıkesir University; Coastal Carolina University; Pamukkale University |
| 2026-10-15 | [Geopolitical risk spillovers among GCC stock markets, non-renewable energy, and gold: evidence from a quantile connectedness approach](https://doi.org/10.1007/s10258-026-00299-y) | [Portuguese Economic Journal](https://scholar4ai.com/journals/portuguese-economic-journal.md) | Nidhal Mgadmi, Fekria Belhouichet, Ştefan Cristian Gherghina et al. | University of Sfax; Faculty of Economics and Management of Sfax; Bucharest University of Economic Studies; … |
| 2026-10-15 | [Economic Inequality Reduces Sustainable Consumption: Cross-National and Experimental Evidence and Psychological Mechanisms](https://doi.org/10.1007/s10551-026-06437-y) | [Journal of Business Ethics](https://scholar4ai.com/journals/journal-of-business-ethics.md) | Steven A. Brieger, Jacob Hörisch, Xinyu Zhang | NEOMA Business School; Leuphana University of Lüneburg; University of Sussex |
| 2026-10-14 | [Dividend Policy, Institutional Ownership and Stock Price Volatility Across Volatility Regimes: Evidence from Bursa Malaysia](https://doi.org/10.1007/s10690-026-09650-x) | [Asia-Pacific Financial Markets](https://scholar4ai.com/journals/asia-pacific-financial-markets.md) | Syed Quaid Ali Shah, Walid Cheffi, Samirah Almutairi et al. | King Fahd University of Petroleum and Minerals; University of Science and Technology Bannu |
| 2026-10-12 | [The influence of inflation on commercial bank performance: a systematic review](https://doi.org/10.1186/s43093-026-01013-2) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Safwan Al-Dhobee, Mohammed Al-Rafaik, Ali Al-Oluki et al. | Sana'a University; Thamar University; Al-Razi University |
| 2026-10-12 | [Is state fragility a hindrance to trade openness in Africa?](https://doi.org/10.1007/s10368-026-00816-6) | [International Economics and Economic Policy](https://scholar4ai.com/journals/international-economics-and-economic-policy.md) | Constant Fouopi Djiogap, Steves Brice Donald Mbah Njoh, Steve Douanla Meli | University of Namur; UCLouvain; University of Ngaoundéré |
| 2026-10-11 | [Divergent reactions to oil price shocks: Green vs. traditional bond perspective across oil-exporting and oil-importing economies](https://doi.org/10.1016/j.irfa.2026.105449) | [International Review of Financial Analysis](https://scholar4ai.com/journals/international-review-of-financial-analysis.md) | Ali AKGÜL, Hasan Murat Ertuğrul, Onur Polat | Anadolu University; Hacettepe University |
| 2026-10-11 | [Mortgage risk and inequality during the COVID-19 crisis](https://doi.org/10.1016/j.irfa.2026.105457) | [International Review of Financial Analysis](https://scholar4ai.com/journals/international-review-of-financial-analysis.md) | Aleksandr Kornilov, Natalia Levenko | Tallinn University of Technology; Bank of Estonia |
| 2026-10-09 | [Reassessing the evidence on Spain's energy poverty amid the green transition: A replication and augmentation](https://doi.org/10.1016/j.eneco.2026.109643) | [Energy Economics](https://scholar4ai.com/journals/energy-economics.md) | Purushottam Yada, Sajal Ghosh, Kakali Kanjilal | Management Development Institute; International Management Institute |
| 2026-10-08 | [The role of external debt dynamics in monetary policy effectiveness: Insights from Pacific Island countries](https://doi.org/10.1016/j.asieco.2026.102277) | [Journal of Asian Economics](https://scholar4ai.com/journals/journal-of-asian-economics.md) | K.P. Prabheesh, Biswajit Panigrahi, Lavenia Cocker | Indian Institute of Technology Hyderabad |
| 2026-10-08 | [Early growth, limited persistence: User entrepreneurship and firm employment growth](https://doi.org/10.1016/j.jbvi.2026.e00677) | [Journal of Business Venturing Insights](https://scholar4ai.com/journals/journal-of-business-venturing-insights.md) | Zheng Tian, Luyi Han, Timothy R. Wojan et al. | Pennsylvania State University; Georgetown University |
| 2026-10-08 | [Entrepreneurship development, corruption perception, and sustainable development outcomes in emerging economies: the moderating role of digital financial inclusion](https://doi.org/10.1186/s43093-026-01019-w) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Seun Adebowale Adebanjo |  |
| 2026-10-08 | [Behavioral drivers of cryptocurrency markets: A systematic review](https://doi.org/10.1016/j.jbef.2026.101265) | [Journal of Behavioral and Experimental Finance](https://scholar4ai.com/journals/journal-of-behavioral-and-experimental-finance.md) | Sebastian Steindl, Hans Rüdiger Kaufmann, Bernd Britzelmaier | University of Nicosia; Pforzheim University of Applied Sciences |
| 2026-10-08 | [Is the relationship between climate policy uncertainty and cash holding nonlinear?](https://doi.org/10.1016/j.najef.2026.102730) | [The North American Journal of Economics and Finance](https://scholar4ai.com/journals/the-north-american-journal-of-economics-and-finance.md) | Augustinos I. Dimitras, Efstathios Magerakis, George Peppas | Hellenic Open University |
| 2026-10-07 | [Geopolitical risk and the spatial convergence of renewable energy consumption: Evidence from 1996 to 2026](https://doi.org/10.1016/j.iref.2026.105920) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Liu He, 邹佰峰, Xing Chiang | Northeast Agricultural University; Northeast Forestry University; City University of Macau |
| 2026-10-07 | [Unveiling the link between promoter ownership, business groups and CSR expenditure: evidence from Indian listed and unlisted firms](https://doi.org/10.1057/s41310-026-00430-7) | [International Journal of Disclosure and Governance](https://scholar4ai.com/journals/international-journal-of-disclosure-and-governance.md) | Saba Shireen, R. L. Manogna, Hsin-I Chou | Birla Institute of Technology and Science, Pilani - Goa Campus; RMIT University |
| 2026-10-07 | [Testing for dominance in risk transmission mechanisms towards the European energy market](https://doi.org/10.1016/j.frl.2026.110844) | [Finance research letters](https://scholar4ai.com/journals/finance-research-letters.md) | Jone Ascorbebeitia, Eva Ferreira, Susan Orbe | University of the Basque Country |
| 2026-10-06 | [Optimization modeling in business and government: in honor of Professor John M. Mulvey on his 80th birthday](https://doi.org/10.1007/s10479-026-07445-x) | [Annals of Operations Research](https://scholar4ai.com/journals/annals-of-operations-research.md) | David A. Saunders, Stavros A. Zenios | University of Waterloo; Durham University; University of Cyprus |
| 2026-10-06 | [Do digitalization and institutional capacity improve EU fund management for bridging territorial gaps? Evidence from the 2014–2020 Cohesion Policy](https://doi.org/10.1007/s00168-026-01562-y) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | Benedetta Coluccia, Valentina Cattivelli, Roberta Barbieri | Pegaso University; University of Salento |
| 2026-10-05 | [The empirics of the tourism–growth nexus: how does tourism specialization affect regional growth paths?](https://doi.org/10.1007/s00168-026-01574-8) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | David Boto‐García, Roberto Balado‐Naves, José Francisco Baños-Pino et al. | Universidad de Oviedo |
| 2026-10-05 | [Dynamics of regime and quantile connectedness across new economy markets](https://doi.org/10.1016/j.iref.2026.105940) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Sami Al Kharusi, Rim M. El Khoury, Walid Mensi et al. | Sultan Qaboos University; Lebanese American University; Pusan National University |
| 2026-10-05 | [Transparent forecasting with XAI: Improving accuracy and trust in electricity demand prediction](https://doi.org/10.1016/j.knosys.2026.117131) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Somya Bansal, Vaibhav Baldeva, Asmit Cajla et al. | Thapar Institute of Engineering & Technology; Torrens University Australia; Norwegian University of Science and Technology |
| 2026-10-03 | [Does geopolitical risk amplify sentiment effects in green equity markets? Evidence from multivariate quantile-on-quantile analysis](https://doi.org/10.1016/j.jbef.2026.101264) | [Journal of Behavioral and Experimental Finance](https://scholar4ai.com/journals/journal-of-behavioral-and-experimental-finance.md) | Simran Agarwal, Puja Padhi | Indian Institute of Technology Bombay |
| 2026-10-03 | [Uncertainty quantification for trustworthy deep learning: Methods and measures](https://doi.org/10.1016/j.neunet.2026.109699) | [Neural Networks](https://scholar4ai.com/journals/neural-networks.md) | H. Martin Gillis, Thomas P. Trappenberg | Dalhousie University |
| 2026-10-03 | [Tail Dependence in EU Carbon Markets: Graphical Models of Extremes for EUA Futures](https://doi.org/10.1007/s10614-026-11430-8) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Jan Maciejowski, Manuele Leonelli | IE University |
| 2026-10-02 | [Targeted bidders in government tenders](https://doi.org/10.1016/j.jebo.2026.107779) | [Journal of Economic Behavior & Organization](https://scholar4ai.com/journals/journal-of-economic-behavior-organization.md) | Matilde Cappelletti, Leonardo Maria Giuffrida | Centre for European Economic Research; University of Mannheim |
| 2026-10-02 | [The impact of international clean energy finance and public policies on the low-carbon energy transition: Evidence from Egypt and Brazil](https://doi.org/10.1016/j.enpol.2026.115647) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Tunahan Değirmenci, Yusuf Ünsal | Sakarya University; Azerbaijan State University of Economics; Anadolu University |
| 2026-10-01 | [Beyond Average Effects: Quantile Regression Evidence of a Green Finance Tipping Point in BRICS Economies](https://doi.org/10.1016/j.ribaf.2026.103677) | [Research in International Business and Finance](https://scholar4ai.com/journals/research-in-international-business-and-finance.md) | Na Yun, Smung Chee | Northwest University; Xi'an University of Finance and Economics; Xi’an University; … |
| 2026-10-01 | [Globalization channels and business cycle synchronization: The roles of capital mobility and China's bilateral trade](https://doi.org/10.1016/j.iref.2026.106000) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Dong Yao, Wanyin Zhong, Liang Chen et al. | Chengdu Jincheng College; Chengdu Medical College |
| 2026-10-01 | [Trade wars, geopolitical risk, and volatility dynamics in sustainable and conventional energy ETFs](https://doi.org/10.1016/j.eneco.2026.109658) | [Energy Economics](https://scholar4ai.com/journals/energy-economics.md) | Muhammad Shabaz, Mosab Ismail Tabash, Umaid A. Sheikh et al. | Beijing Institute of Technology; Gulf University for Science & Technology; University of Cambridge; … |
| 2026-10-01 | [Media Interpretation, Investor Attention, and Volatility Escalation in Global Financial Markets](https://doi.org/10.1016/j.frl.2026.110956) | [Finance research letters](https://scholar4ai.com/journals/finance-research-letters.md) | Zuzana Janková | Brno University of Technology |
| 2026-10-01 | [Patent agglomeration and environmental efficiency: effects and mechanisms in Africa](https://doi.org/10.1016/j.eneco.2026.109647) | [Energy Economics](https://scholar4ai.com/journals/energy-economics.md) | Rockson Sai, Hongping Yuan, Ebenezer Kwabena Takyi et al. | Guangzhou University; Environmental Protection Agency; Emory University; … |
| 2026-10-01 | [High-dimensional portfolio optimization with weight constraints: Forecasting models utilizing GARCH-EVT, R-vine copula, and SCAD penalty](https://doi.org/10.1016/j.ijforecast.2026.08.007) | [International Journal of Forecasting](https://scholar4ai.com/journals/international-journal-of-forecasting.md) | Jian Lv, Chenxu Wang, Wenyong Yuan | Zhejiang University of Finance and Economics |
| 2026-10-01 | [Tourism in Balance and public investments in Italian regions](https://doi.org/10.1007/s00168-026-01568-6) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | Martina Aronica, Maria Francesca Cracolici, Davide Piacentino et al. | University of Palermo |
| 2026-10-01 | [COCOA: a model-agnostic framework for forecasting accessories demand from final product sales](https://doi.org/10.1016/j.cie.2026.112427) | [Computers & Industrial Engineering](https://scholar4ai.com/journals/computers-industrial-engineering.md) | Matteo Gabellini, Alberto Regattieri | University of Ferrara; University of Bologna |
| 2026-10-01 | [Combining value-at-risk and expected-shortfall forecasts via the model confidence set](https://doi.org/10.1016/j.ijforecast.2026.09.011) | [International Journal of Forecasting](https://scholar4ai.com/journals/international-journal-of-forecasting.md) | Alessandra Amendola, Vincenzo Candila, Antonio Naimoli et al. |  |
| 2026-09-30 | [Communication-efficient distributed quantile regression neural networks via convolution smoothing and poisson sampling](https://doi.org/10.1016/j.eswa.2026.134604) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Chenyan Hao, Ying Chen, Jun Jin et al. | Yangzhou University; Southwestern University of Finance and Economics; University of Canberra |
| 2026-09-30 | [Order-flow toxicity in cryptocurrency perpetual futures: Order flow signals, price-impact persistence, and the limits of volatility-based metrics](https://doi.org/10.1016/j.iref.2026.105876) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Suresh Rajendran, Divya Singaravelu |  |
| 2026-09-30 | [Nonparametric identification of first-price auction with unobserved competition: A density discontinuity framework](https://doi.org/10.1016/j.jeconom.2026.106345) | [Journal of Econometrics](https://scholar4ai.com/journals/journal-of-econometrics.md) | Emmanuel Guerre, Yao Luo |  |
| 2026-09-29 | [National cultural dimensions and materiality assessment disclosure in sustainability reporting: cross-country evidence from the world’s leading companies](https://doi.org/10.1186/s43093-026-01014-1) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Magdi Abdoh Al-Rowaidi, Lian Kee Phua, Dayana Jalaludin et al. | Universiti Sains Malaysia; Hadhramout University; University of Malaya; … |
| 2026-09-28 | [From digital inclusion to social inclusion: How bridging digital divide affects rural income inequality in China?](https://doi.org/10.1016/j.iref.2026.105913) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Nie Changteng, Fan Zhang | Fujian Business University; Gannan Normal University |
| 2026-09-27 | [Does board compensation impact corporate social responsibility investments? -Evidence from India](https://doi.org/10.1007/s10997-026-09809-8) | [Journal of Management & Governance](https://scholar4ai.com/journals/journal-of-management-governance.md) | Ankur Paliwal | IFMR Graduate School of Business; Krea University |

## Cite this page

Scholar4AI. (2026). Quantile regression. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/quantile-regression

```bibtex
@misc{scholar4ai-equations-quantile-regression,
  author = {{Scholar4AI}},
  title = {Quantile regression},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/quantile-regression}},
  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/).