Showing 1 - 8 of 8
Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the violation of restrictions. Such a model turns out to be appropriate for many applications and, principally, for the mean-risk portfolio selection problem. Each...
Persistent link: https://www.econbiz.de/10010311008
Trimmed regions are a powerful tool of multivariate data analysis. They describe a probability distribution in Euclidean d-space regarding location, dispersion, and shape, and they order multivariate data with respect to their centrality. Dyckerhoff and Mosler (201x) have introduced the class of...
Persistent link: https://www.econbiz.de/10010304606
Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the violation of restrictions. Such a model turns out to be appropriate for many applications and, principally, for the mean-risk portfolio selection problem. Each...
Persistent link: https://www.econbiz.de/10010958912
The paper introduces an approach to the ordering of dependence which is based on central regions. A d-variate probability distribution is described by a nested family of sets, called central regions. Those regions are affine equivariant, compact and starshaped and concentrate about a properly...
Persistent link: https://www.econbiz.de/10005556353
In the M-estimation theory developed by Huber (1964, Ann. Math. Statist.43, 1449-1458), the parameter under estimation is the value of [theta] which minimizes the expectation of what is called a discrepancy measure (DM) [delta](X, [theta]) which is a function of [theta] and the underlying...
Persistent link: https://www.econbiz.de/10005152937
Trimmed regions are a powerful tool of multivariate data analysis. They describe a probability distribution in Euclidean d-space regarding location, dispersion, and shape, and they order multivariate data with respect to their centrality. Dyckerhoff and Mosler (201x) have introduced the class of...
Persistent link: https://www.econbiz.de/10009019655
Persistent link: https://www.econbiz.de/10011397661
Persistent link: https://www.econbiz.de/10012507582