Bivariate quadratic copula constructions

© 2017 In this study, we present the concept of quadratic copula constructions using two arbitrary copulas. We characterize all quadratic polynomials of four variables whose composition with any two copulas always results in a copula. We show that these polynomials form a compact convex set in a sev...

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Main Authors: Suttisak Wisadwongsa, Santi Tasena
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85030697643&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43896
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-438962018-01-24T04:14:50Z Bivariate quadratic copula constructions Suttisak Wisadwongsa Santi Tasena © 2017 In this study, we present the concept of quadratic copula constructions using two arbitrary copulas. We characterize all quadratic polynomials of four variables whose composition with any two copulas always results in a copula. We show that these polynomials form a compact convex set in a seven-dimensional vector space. We also apply the result to obtain a new family of copulas. 2018-01-24T04:14:50Z 2018-01-24T04:14:50Z 2018-01-01 Journal 0888613X 2-s2.0-85030697643 10.1016/j.ijar.2017.10.001 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85030697643&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43896
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description © 2017 In this study, we present the concept of quadratic copula constructions using two arbitrary copulas. We characterize all quadratic polynomials of four variables whose composition with any two copulas always results in a copula. We show that these polynomials form a compact convex set in a seven-dimensional vector space. We also apply the result to obtain a new family of copulas.
format Journal
author Suttisak Wisadwongsa
Santi Tasena
spellingShingle Suttisak Wisadwongsa
Santi Tasena
Bivariate quadratic copula constructions
author_facet Suttisak Wisadwongsa
Santi Tasena
author_sort Suttisak Wisadwongsa
title Bivariate quadratic copula constructions
title_short Bivariate quadratic copula constructions
title_full Bivariate quadratic copula constructions
title_fullStr Bivariate quadratic copula constructions
title_full_unstemmed Bivariate quadratic copula constructions
title_sort bivariate quadratic copula constructions
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85030697643&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43896
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