Quadratic transformations of copula density and probability density

© 2019 by the Mathematical Association of Thailand. All rights reserved. Studying transformations is a simple way to obtain new types of mappings in data analysis. In this work, we present a characterization of quadratic transformations of copula densities. Additionally, we also characterize quadrat...

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Main Author:	Pharunyou Chanthorn
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073322677&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67904
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-67904
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spelling	th-cmuir.6653943832-679042020-04-02T15:10:39Z Quadratic transformations of copula density and probability density Pharunyou Chanthorn Mathematics © 2019 by the Mathematical Association of Thailand. All rights reserved. Studying transformations is a simple way to obtain new types of mappings in data analysis. In this work, we present a characterization of quadratic transformations of copula densities. Additionally, we also characterize quadratic transformations of probability densities. Both transformations correspond to their quadratic coefficients and the sets of their coefficients are always convex. Especially, the set of coefficients of quadratic transformations of probability densities is a non-polygon. 2020-04-02T15:10:39Z 2020-04-02T15:10:39Z 2019-08-01 Journal 16860209 2-s2.0-85073322677 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073322677&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67904
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Pharunyou Chanthorn Quadratic transformations of copula density and probability density
description	© 2019 by the Mathematical Association of Thailand. All rights reserved. Studying transformations is a simple way to obtain new types of mappings in data analysis. In this work, we present a characterization of quadratic transformations of copula densities. Additionally, we also characterize quadratic transformations of probability densities. Both transformations correspond to their quadratic coefficients and the sets of their coefficients are always convex. Especially, the set of coefficients of quadratic transformations of probability densities is a non-polygon.
format	Journal
author	Pharunyou Chanthorn
author_facet	Pharunyou Chanthorn
author_sort	Pharunyou Chanthorn
title	Quadratic transformations of copula density and probability density
title_short	Quadratic transformations of copula density and probability density
title_full	Quadratic transformations of copula density and probability density
title_fullStr	Quadratic transformations of copula density and probability density
title_full_unstemmed	Quadratic transformations of copula density and probability density
title_sort	quadratic transformations of copula density and probability density
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073322677&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67904
_version_	1681426721382858752

Quadratic transformations of copula density and probability density

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