Assessing Similarity of Random sets via Skeletons

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/60461373:22340/20:43921603 RIV/00216208:11320/21:10440103 RIV/60461373:22340/21:43921603

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Assessing Similarity of Random sets via Skeletons

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Assessing Similarity of Random sets via Skeletons

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

<a href="/cs/project/GA19-04412S" target="_blank" >GA19-04412S: Nové přístupy k modelování a statistice náhodných množin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY

ISSN

1387-5841

e-ISSN

1573-7713

Svazek periodika

23

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

471-490

Kód UT WoS článku

000521928900001

EID výsledku v databázi Scopus

2-s2.0-85082958027