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Department of Statistics, College of Mathematics, Yazd University, Yazd, Iran.
Abstract:   (30 Views)
We propose a copula-based index to detect the reflection asymmetry in trivariate distributions. The proposed index is based on the definition of directional reflection asymmetry over the set of directions. We derive the asymptotic distribution of the rank-based estimator of the proposed index. The value of the index and the direction in which the asymmetry occurs are easily computed, and we illustrate it with a simulation study and a real data analysis.
Type of Study: Original Paper | Subject: 62Gxx: Nonparametric inference
Received: 2018/09/21 | Accepted: 2019/03/28

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