Polynomial copula transformations

© 2019 Elsevier Inc. In this study, we demonstrate that the problem of characterizing polynomial copula transformations can be reduced to solving a system of (in)equalities. In this case, no knowledge of copulas is necessary to find an instance of such polynomials, or even the whole set of such poly...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Santi Tasena
التنسيق: دورية
منشور في: 2019
الموضوعات:
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85061453356&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63620
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الوصف
الملخص:© 2019 Elsevier Inc. In this study, we demonstrate that the problem of characterizing polynomial copula transformations can be reduced to solving a system of (in)equalities. In this case, no knowledge of copulas is necessary to find an instance of such polynomials, or even the whole set of such polynomials. As a demonstration, we employ this result to characterize all quadratic polynomials that define copula transformations.