A nonparametric test of independence between the second-order structure of point patterns and covariates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12220%2F25%3A43910330" target="_blank" >RIV/60076658:12220/25:43910330 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10506265

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11222-025-10669-9" target="_blank" >https://link.springer.com/article/10.1007/s11222-025-10669-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11222-025-10669-9" target="_blank" >10.1007/s11222-025-10669-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A nonparametric test of independence between the second-order structure of point patterns and covariates

Popis výsledku v původním jazyce

We introduce a novel nonparametric method for testing the hypothesis of independence between a marked point process with functional marks and a covariate. In a special case, when the functional marks are constructed using the local indicator of spatial association (LISA) functions, it results in testing the second-order intensity reweighted stationarity (SOIRS) hypothesis against a specific alternative that is determined by a chosen covariate. SOIRS is often used as a convenient assumption in analysing point patterns, but a general formal test of the SOIRS hypothesis is not available in the literature. Our simulation experiments indicate that the proposed test performs well both in size and power. The practical application of the proposed methodology is demonstrated using a point pattern of fish locations in a water reservoir, accompanied by four covariates.

Název v anglickém jazyce

A nonparametric test of independence between the second-order structure of point patterns and covariates

Popis výsledku anglicky

We introduce a novel nonparametric method for testing the hypothesis of independence between a marked point process with functional marks and a covariate. In a special case, when the functional marks are constructed using the local indicator of spatial association (LISA) functions, it results in testing the second-order intensity reweighted stationarity (SOIRS) hypothesis against a specific alternative that is determined by a chosen covariate. SOIRS is often used as a convenient assumption in analysing point patterns, but a general formal test of the SOIRS hypothesis is not available in the literature. Our simulation experiments indicate that the proposed test performs well both in size and power. The practical application of the proposed methodology is demonstrated using a point pattern of fish locations in a water reservoir, accompanied by four covariates.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10103 - Statistics and probability

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Statistics and Computing

ISSN

0960-3174

e-ISSN

1573-1375

Svazek periodika

35

Číslo periodika v rámci svazku

133

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

"1–15"

Kód UT WoS článku

001512303400001

EID výsledku v databázi Scopus

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