Výsledky vyhledávání - "Helisova, Kateřina"

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Two-step method for assessing dissimilarity of random sets

Autor: Đogaš, Vesna Gotovac, Helisová, Kateřina, Radović, Bogdan, Staněk, Jakub, Zikmundová, Markéta, Brejchová, Kateřina

The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their boundaries togeth

Externí odkaz: http://arxiv.org/abs/2105.05952

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A method of induction the distances with Hilbert structure

Autor: Gotovac, Vesna, Helisova, Katerina, Klebanov, Lev B., Volchenkova, Irina V.

A method of induction the distances with Hilbert structure is proposed. Some properties of the method are studied. Typical examples of corresponding metric spaces are discussed. Key words: Hilbert spaces; metric spaces; isometric embedding into Hilbe

Externí odkaz: http://arxiv.org/abs/1804.09729

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Testing equality in distribution of random convex compact sets via theory of N-distances and its application to assessing similarity of general random sets

Autor: Gotovac, Vesna, Helisová, Kateřina

This paper concerns a method of testing equality of distribution of random convex compact sets and the way how to use the test to distinguish between two realisations of general random sets. The family of metrics on the space of distributions of rand

Externí odkaz: http://arxiv.org/abs/1801.02090

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A new definition of random sets

Autor: Gotovac, Vesna, Helisova, Kateřina, Klebanov, Lev B., Volchenkova, Irina V.

A new definition of random sets is proposed. It is based on the distance in measurable space and uses negative definite kernels for continuation from initial space to that of random sets. This approach has no connection to Hausdorff distance between

Externí odkaz: http://arxiv.org/abs/1712.09452

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