A note on the use of copulas in chance-constrained programming
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00437979" target="_blank" >RIV/67985556:_____/14:00437979 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A note on the use of copulas in chance-constrained programming
Original language description
In this paper we are concentrated on a problem of linear chanceconstrained programming where the constraint matrix is considered random with a known distribution of the matrix rows. The rows are not considered to be independent; instead, we make use of the copula notion to describe the dependence of the matrix rows. In particular, the distribution of the rows is driven by so-called Archimedean class of copulas. We provide a review of very basic properties of Archimedean copulas and describe how they canbe used to transform the stochastic programming problem into a deterministic problem of second-order cone programming. Also the question of convexity of the problem is explored and importance of the selected class of copulas is commented. At the end ofthe paper, we provide a simple example to illustrate the concept used.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-14445S" target="_blank" >GA13-14445S: New Trends in Stochastic Economic Models under Uncertainty</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of 32nd International Conference Mathematical Methods in Economics MME 2014
ISBN
978-80-244-4209-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
327-332
Publisher name
Palacký University
Place of publication
Olomouc
Event location
Olomouc
Event date
Sep 10, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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