Before revision:  In this article , we introduce the rich classes of conditional distortion (CoD) risk measures and distortion risk contribution (\DeltaCoD) measures , which contain the well-known conditional Value-at-Risk (CoVaR) , conditional Expected Shortfall (CoES) , and risk contribution measures in terms of the VaR and ES ( and ) as special cases.
After revision:  In this article , we introduce the rich classes of conditional distortion (CoD) risk measures and distortion risk contribution (\DeltaCoD) measures as measures of systemic risk and analyze their properties and representations. The classes include the well-known conditional Value-at-Risk (CoVaR) , conditional Expected Shortfall (CoES) , and risk contribution measures in terms of the VaR and ES ( and ) as special cases.