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Title: Quadratic transformations of multivariate quasi-copula and multivariate semi-copula
Other Titles: การแปลงกำลังสองของควอซิคอปูลาหลายตัวแปรและเซมิคอปูลาหลายตัวแปร
Authors: Prakassawat Boonmee
Authors: Santi Tasena
Attapol Kaewkhao
Parkpoom Phetpradap
Prakassawat Boonmee
Issue Date: Oct-2020
Publisher: เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
Abstract: In this dissertation, we review transformations of a bivariate semi-copula, quasicopula and copula. From the concept of the transformations, we present a construction of a semi-copula (quasi-copula) via a composition of a multivariate semi-copula (quasicopula) with a quadratic polynomial. Actually, such compositions will not always result in a semi-copula (quasi-copula). The aim of this dissertation is to find the necessary and sufficient conditions of the quadratic polynomial for the semi-copula (quasi-copula) transformation. We found that the conditions depend on the coefficients of the quadratic polynomial. Moreover, set of the coefficients forms a convex set with linear boundary. Furthermore, we study a transformation of several multivariate semi-copulas. Besides, the characterization for such transformations are also given.
Appears in Collections:GRAD-Health Sciences: Theses

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