The academic publication process consists of al least two stages. The first stage covers the conception of a paper, its submission to a journal, possible revisions due to comments made by (anonymous) reviewers, and acceptance of the manuscript, among other aspects. The second stage concerns the...

The academic publication process consists of al least two stages. The first stage covers the conception of a paper, its submission to a journal, possible revisions due to comments made by (anonymous) reviewers, and acceptance of the manuscript, among other aspects. The second stage concerns the...

We prove that the probability distribution of Hill's estimator can be betterapproximated by a series of appropriate gamma distributions than by the limitingnormal distribution.

Consider n i.i.d. random vectors on R2, with unknown, common distribution function F.Under a sharpening of the extreme value condition on F, we derive a weighted approximation of the corresponding tail copula process.Then we construct a test to check whether the extreme value condition holds by...

AMS 2000 subject classifications. Primary 62G32, 62G05; secondary 60G70, 60F05.

Abstract: Denote the loss return on the equity of a financial institution as X and that of the entire market as Y . For a given very small value of p 0, the marginal expected shortfall (MES) is defined as E(X | Y QY (1−p)), where QY (1−p) is the (1−p)-th quantile of the distribution of Y...

Abstract: We extend classical extreme value theory to non-identically distributed observations. When the distribution tails are proportional much of extreme value statistics remains valid. The proportionality function for the tails can be estimated nonparametrically along with the (common)...