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Semiparametric Dynamic Copula Models using Rolling-window Portfolio Optimization
Volume 24, Issue 2 (2026): Special Issue: The 2025 Symposium on Data Science and Statistics (SDSS 2025),, pp. 296–318
Savita Pareek ORCID icon link to view author Savita Pareek details   Sujit K. Ghosh  

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https://doi.org/10.6339/26-JDS1229
Pub. online: 8 May 2026      Type: Statistical Data Science      Open accessOpen Access

Received
16 September 2025
Accepted
21 March 2026
Published
8 May 2026

Abstract

The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains fundamental in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its applicability to real-world data. Parametric copula structures provide a novel way to overcome these limitations by accounting for asymmetry, heavy tails, and time-varying dependencies. Existing methods have been shown to rely on fixed or static dependence structures, thus overlooking the dynamic nature of the financial market. In this study, a semiparametric model is proposed that combines nonparametrically estimated copulas with parametrically estimated marginals to allow all parameters to dynamically evolve over time. A novel framework was developed that integrates time-varying dependence modeling with flexible empirical beta-copula structures. Marginal distributions were modeled using the skewed generalized t-family. This effectively captures asymmetry and heavy tails and makes the model suitable for predictive inferences in real-world scenarios. Furthermore, the model was applied to rolling windows of financial returns from the USA, India, and Hong Kong economies to understand the influence of dynamic market conditions. The approach addresses the limitations of models that rely on parametric assumptions. By accounting for asymmetry, heavy tails, and cross-correlated asset prices, the proposed method offers a robust solution to optimize diverse portfolios in an interconnected financial market. Through adaptive modeling, it allows for better management of risk and return across varying economic conditions, leading to more efficient asset allocation and improved portfolio performance.

Supplementary material

 Supplementary Material
Supplementary Figures and Tables & Software Implementation Details.

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Copyright
2026 The Author(s). Published by the School of Statistics and the Center for Applied Statistics, Renmin University of China.
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Open access article under the CC BY license.

Keywords
empirical beta copula Markowitz portfolio optimization skewed generalized t-distribution

Funding
No funding was received.

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