Successful estimation of the Pareto tail index from extreme order statistics relies heavily on the procedure used to determine the number of extreme order statistics that are used for the estimation. Most of the known procedures are based on the minimization of (an estimate of) the asymptotic...

Estimation of the Pareto tail index from extreme order statistics is an important problem in many settings. The upper tail of the distribution, where data are sparse, is typically fitted with a model, such as the Pareto model, from which quantities such as probabilities associated with extreme...

Via the well-known financial leverage effect, decreases in stock prices cause an increase in the levered equity beta for a given unlevered equity beta. However, as growth options are more volatile and have higher risk than assets in place, a price decrease may decrease the unlevered equity beta...