Global envelope tests for spatial processes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F17%3A43892132" target="_blank" >RIV/60076658:12510/17:43892132 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1111/rssb.12172" target="_blank" >http://dx.doi.org/10.1111/rssb.12172</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1111/rssb.12172" target="_blank" >10.1111/rssb.12172</a>

Result language

angličtina

Original language name

Global envelope tests for spatial processes

Original language description

Envelope tests are a popular tool in spatial statistics, where they are used in goodness-of-fit testing. These tests graphically compare an empirical function T(r) with its simulated counterparts from the null model. However, the type I error probability is conventionally controlled for a fixed distance r only, whereas the functions are inspected on an interval of distances I. In this study, we propose two approaches related to Barnard&apos;s Monte Carlo test for building global envelope tests on I: ordering the empirical and simulated functions on the basis of their r-wise ranks among each other, and the construction of envelopes for a deviation test. These new tests allow the a priori choice of the global and they yield p-values. We illustrate these tests by using simulated and real point pattern data.

Czech name

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Czech description

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Type

J_imp - 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

Project

<a href="/en/project/GA16-03708S" target="_blank" >GA16-03708S: Spatial geometrical statistics of random sets in Euclidean spaces</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Journal of the Royal Statistical Society - Series B: Statistical Methodology

ISSN

1369-7412

e-ISSN

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Volume of the periodical

79

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

24

Pages from-to

381-404

UT code for WoS article

000394910700002

EID of the result in the Scopus database

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