Generalized deviations in risk analysis View Full Text


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Article Info

DATE

2006-01

AUTHORS

R. Tyrrell Rockafellar, Stan Uryasev, Michael Zabarankin

ABSTRACT

.General deviation measures are introduced and studied systematically for their potential applications to risk management in areas like portfolio optimization and engineering. Such measures include standard deviation as a special case but need not be symmetric with respect to ups and downs. Their properties are explored with a mind to generating a large assortment of examples and assessing which may exhibit superior behavior. Connections are shown with coherent risk measures in the sense of Artzner, Delbaen, Eber and Heath, when those are applied to the difference between a random variable and its expectation, instead of to the random variable itself. However, the correspondence is only one-to-one when both classes are restricted by properties called lower range dominance, on the one hand, and strict expectation boundedness on the other. Dual characterizations in terms of sets called risk envelopes are fully provided. More... »

PAGES

51-74

References to SciGraph publications

  • 2000-10. Coherent risk measures in BLÄTTER DER DGVFM
  • 2002. Coherent Risk Measures on General Probability Spaces in ADVANCES IN FINANCE AND STOCHASTICS
  • 2006-11-14. Conditional value at risk and related linear programming models for portfolio optimization in ANNALS OF OPERATIONS RESEARCH
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00780-005-0165-8

    DOI

    http://dx.doi.org/10.1007/s00780-005-0165-8

    DIMENSIONS

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