Table of contents alert
Do you want to receive an email alert about new issue?

CEEOL DigLib DOAJ EBSCO EconBiz EconLit RePEc Scopus Socolar
Total downloads:146484
Total abstract views:242092
Our sponsors
sponsors gacr sophia Faculty of Social Sciences Evropaeum Karolinum

Volume 7, Issue 3


Risk Measures in Optimization Problems via Empirical Estimates

Kaňková, Vlasta

Year: 2013   Volume: 7   Issue: 3   Pages: 162-177

Abstract: Economic and financial activities are often influenced simultaneously by a decision parameter and a random factor. Since mostly it is necessary to determine the decision parameter without knowledge of the realization of the random element, deterministic optimization problems depending on a probability measure often correspond to such situations. In applications the problem has to be very often solved on the data basis. It means that usually the “underlying” probability measure is replaced by empirical one. Great effort has been made to investigate properties of the corresponding (empirical) estimates; mostly under assumptions of “thin” tails and a linear dependence on the probability measure. The aim of this paper is to focus on the cases when these assumptions are not fulfilled. This happens usually just in economic and financial applications (see, e.g., Mandelbort 2003; Pflug and Römisch 2007; Rachev and Römisch 2002; Shiryaev 1999).

JEL classification: C44

Keywords: Static stochastic optimization problems, linear and nonlinear dependence, risk measures, thin and heavy tails, Wasserstein metric, L1 norm, empirical distribution function

RePEc: http://ideas.repec.org/a/fau/aucocz/au2013_162.html

pdf [PDF] print Print   Recommend to others Recommend to others