2016
DOI: 10.2139/ssrn.2772730
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Testing Asymmetry in Dependence with Copula-Coskewness

Abstract: Abstract.A new measure of asymmetry in dependence is proposed which is based on taking the difference between the margin-free coskewness parameters of the underlying copula. The new measure and a related test are applied to both a hydrological and a financial market data sample and we show that both samples exhibit systematic asymmetric dependence.

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Cited by 2 publications
(2 citation statements)
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“…Genest and Nešlehová's radial symmetry tests extend earlier contributions of Bouzebda and Cherfi (2012) and Dehgani, Dolati, and Úbeda-Flores (2013). Other tests of copula exchangeability and radial symmetry were proposed by Li and Genton (2013), Quessy and Bahraoui (2013), Bahraoui and Quessy (2017), Bücher, Irresberger, and Weiss (2017), and Krupskii (2017). Beare and Seo (2014) also proposed a test of copula exchangeability, but for the somewhat different case where the copula in question characterizes the serial dependence in a univariate time series.…”
Section: Introductionmentioning
confidence: 53%
“…Genest and Nešlehová's radial symmetry tests extend earlier contributions of Bouzebda and Cherfi (2012) and Dehgani, Dolati, and Úbeda-Flores (2013). Other tests of copula exchangeability and radial symmetry were proposed by Li and Genton (2013), Quessy and Bahraoui (2013), Bahraoui and Quessy (2017), Bücher, Irresberger, and Weiss (2017), and Krupskii (2017). Beare and Seo (2014) also proposed a test of copula exchangeability, but for the somewhat different case where the copula in question characterizes the serial dependence in a univariate time series.…”
Section: Introductionmentioning
confidence: 53%
“…Moreover, a joint distribution that displays such characteristics would also feature asymmetric tail dependence. Indeed, it is this intuition that Bücher, Irresberger, and Weiss () exploit to construct an asymmetric dependence copula function from co‐skewness, which they then use to model data with complex relationships from hydrology and finance. Further, Cerrato, Crosby, Kim, and Zhao () investigate the relationship between higher order co‐moments and the dependence structure of equity portfolios in the USA and UK, and find that co‐skewness is positively associated with tail dependence.…”
Section: Cti and Portfolio Allocationmentioning
confidence: 99%