Extreme losses are the major concern in risk management. However, the dependence between financial assets and the market portfolio is known to change under extremely adverse market conditions. This is why we develop a measure of systematic tail risk, the tail regression beta, defined by an...

This paper considers the problem of estimating a linear model between two heavy-tailed variables if the explanatory variable has an extremely low (or high) value. We propose an estimator for the model coefficient by exploiting the tail dependence between the two variables and prove its...