Hi , Understand that the Coefficient of Lower and Upper Tail dependencies is a probability between 0 and 1 to reflect the degree of positive interdependence. But does it also measure the negative interdependence? For example, the coefficient for perfect negative interdependence (eg the counter-monotonic copula) is 0. But what would the coefficient be for negative interdependence which isn't perfect? Tia
There's only a definition for the positive interdependence as that is what we, as actuaries, are worried about. eg extreme events lead to greater correlation between supposedly diversified stocks.