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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 3

A measure of radial asymmetry for bivariate copulas based on Sobolev norm

Ahmad Alikhani-vafa
Ali Dolati
Pages
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Publication Date
2018-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Through simulation and a real data example, we compare the proposed index with the other radial asymmetry measures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The modified Sobolev norm is used to construct an index for measuring the degree of radial asymmetry of a copula.
📊
Key Findings & Data:We study various aspects of this index and discuss its rank-based estimator.
💡
Conclusion & Impact:Through simulation and a real data example, we compare the proposed index with the other radial asymmetry measures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bivariate symmetry · Copula · Empirical process

Abstract

The modified Sobolev norm is used to construct an index for measuring the degree of radial asymmetry of a copula. We study various aspects of this index and discuss its rank-based estimator. Through simulation and a real data example, we compare the proposed index with the other radial asymmetry measures.

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Cite This Article

Alikhani-vafa, A., Dolati, A. (2018). A measure of radial asymmetry for bivariate copulas based on Sobolev norm. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 3. https://ajindex.com/articles/1402934

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