Integrating Quantile Regression and Extreme Value Theory for Robust Index-Based Agricultural Insurance
PDF

Keywords

Index-based Insurance, Quantile Regression, Extreme Value Theory, Tail Risk, Reinsurance, Climate Resilience, Surkhandarya.

How to Cite

Abdullayev , A. (2026). Integrating Quantile Regression and Extreme Value Theory for Robust Index-Based Agricultural Insurance. INTERNATIONAL CONFERENCE ON SCIENCE, INNOVATION AND GLOBAL DEVELOPMENT, 1(2), 54-57. https://doi.org/10.5281/zenodo.18600711

Abstract

Index-based insurance is a critical tool for mitigating systemic climate risks in agriculture, yet its efficiency often suffers from significant basis risk. This study proposes a hybrid econometric framework combining Quantile Regression (QR) and Extreme Value Theory (EVT) to enhance risk assessment, using wheat yield data from Uzbekistan’s Surkhandarya region.

Unlike conventional mean-based models, Quantile Regression reveals the asymmetric sensitivity of yields to environmental stressors, demonstrating that moisture deficits exert a significantly higher impact during extreme drought years (q=0.1) than under median conditions. To address catastrophic "tail risks," the Peak-Over-Threshold (POT) method is applied, providing a precise estimation of the Probable Maximum Loss (PML). The integration of these techniques allows for the calibration of more accurate insurance triggers and payout functions. This dual approach not only reduces basis risk but also provides the actuarial transparency required to transfer agricultural liabilities to international reinsurance markets, ensuring financial resilience against escalating climate volatility.

PDF

References

1. Kahane, Y. (1979). The Theory of Insurance Risk Premiums: A Re-examination in the Light of Recent Developments in Capital Market Theory. ASTIN Bulletin: The Journal of the IAA, 10(2), 223-239. DOI: 10.1017/S051503610000653X

2. Bühlmann, H. (1970). Mathematical Methods in Risk Theory. Springer-Verlag

3. Varian, H. R. (1992). Microeconomic Analysis. W. W. Norton & Company.

4. Hazell, P. B., & Varangis, P. (2020). Best Practices for Public-Private Partnerships in Agriculture Insurance. World Bank Group Publications.

5. Miranda, M. J., & Farrin, K. T. (2012). Index Insurance for Developing Countries: A Reassessment. Annual Review of Resource Economics, 4(1), 421-441. DOI: 10.1146/annurev-resource-083110-120122

6. Turvey, C. G. (2001). Weather Derivatives for Specific Event Risks in Agriculture. Review of Agricultural Economics, 23(2), 333-351.

7. Koenker, R., & Bassett Jr, G. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI: 10.2307/1913643

8. Koenker, R. (2005). Quantile Regression. Cambridge University Press. DOI: 10.1017/CBO9780511754098

9. Embrechts, P., Klüppelberg, C., & Mikosch, T. (1997). Modelling Extremal Events for Insurance and Finance. Springer. DOI: 10.1007/978-3-642-33483-2

10. McNeil, A. J. (1997). Estimating the Tails of Loss Severity Distributions using Extreme Value Theory. ASTIN Bulletin, 27(1), 117-137.

Downloads

Download data is not yet available.