Functional treatment of asymmetric copulas

Ahmed Sani; Loubna Karbil

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arXiv · 1907.05915

Functional treatment of asymmetric copulas

Ahmed Sani·Loubna Karbil

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Abstract

The concept of asymmetric copulas is revisited and is made more precise. We give a rigorous topological argument for opportunity to define asymmetry measures defined recently by K.F Siburg [6] through exhibiting at least three ordered classes of copulas according to a suitable equivalence relation. We define a process of ordering subcopulas which makes clearer the degree of asymmetry. As illustration, we treat the asymmetric Cobb-Douglas utility model.

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Ahmed Sani, Loubna Karbil. 2019-07-12. Functional treatment of asymmetric copulas. https://arxiv.org/abs/1907.05915

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