Assessing Similarity of Random sets via Skeletons
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355044" target="_blank" >RIV/68407700:21230/21:00355044 - isvavai.cz</a>
Alternative codes found
RIV/60461373:22340/20:43921603 RIV/00216208:11320/21:10440103 RIV/60461373:22340/21:43921603
Result on the web
<a href="https://doi.org/10.1007/s11009-020-09785-y" target="_blank" >https://doi.org/10.1007/s11009-020-09785-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11009-020-09785-y" target="_blank" >10.1007/s11009-020-09785-y</a>
Alternative languages
Result language
angličtina
Original language name
Assessing Similarity of Random sets via Skeletons
Original language description
The paper concerns a method for assessing similarity of realisations of random sets based on a construction of their morphological skeletons and a consequent covering of the realisations by unions of the so-called maximal discs. Since the realisations are considered to be binary images, the skeletons together with the corresponding discs can be viewed as realisations of marked point processes with specific properties. A special function for such marked point processes is defined. This function is analogous to the mark-weighted K-function. The function is then used for comparison of given realisations. More precisely, a random sample of the functions is taken from the realisations and the equality in distribution of the functions is tested by an envelope test and by a kernel test. The described procedure is illustrated on a simulation study with the aim to distinguish between realisations coming from different processes and to determine similarity of realisations coming from the same processes.
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
20
Pages from-to
471-490
UT code for WoS article
000521928900001
EID of the result in the Scopus database
2-s2.0-85082958027