Testing Equality of Distributions of Random Convex Compact Sets via Theory of n-Distances
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355035" target="_blank" >RIV/68407700:21230/21:00355035 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11009-019-09747-z" target="_blank" >https://doi.org/10.1007/s11009-019-09747-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11009-019-09747-z" target="_blank" >10.1007/s11009-019-09747-z</a>
Alternative languages
Result language
angličtina
Original language name
Testing Equality of Distributions of Random Convex Compact Sets via Theory of n-Distances
Original language description
This paper concerns a method of testing the equality of distributions of random convex compact sets. The main theoretical result involves a construction of a metric on the space of distributions of random convex compact sets. We obtain it by using the theory of n-distances and the redefined characteristic function of random convex compact set. We propose an approximation of the metric through its finite-dimensional counterparts. This result leads to a new statistical test for testing the equality of distributions of two random convex compact sets. Consequently, we show a heuristic approach how to determine whether two realisations of random sets that can be approximated by a union of identically distributed random convex compact sets come from the same underlying process using the constructed test. Each procedure is justified by an extensive simulation study and the heuristic method for comparing random sets using their convex compact counterparts is moreover applied to real data concerning histological images of two different types of mammary tissue.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
<a href="/en/project/GA19-04412S" target="_blank" >GA19-04412S: New approaches to modeling and statistics of random sets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY
ISSN
1387-5841
e-ISSN
1573-7713
Volume of the periodical
23
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
503-526
UT code for WoS article
000495963200001
EID of the result in the Scopus database
2-s2.0-85075210515