GET : Global Envelopes in R
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12220%2F24%3A43908307" target="_blank" >RIV/60076658:12220/24:43908307 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/386350193_GET_Global_Envelopes_in_R#fullTextFileContent" target="_blank" >https://www.researchgate.net/publication/386350193_GET_Global_Envelopes_in_R#fullTextFileContent</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18637/jss.v111.i03" target="_blank" >10.18637/jss.v111.i03</a>
Alternative languages
Result language
angličtina
Original language name
GET : Global Envelopes in R
Original language description
This work describes the R package GET that implements global envelopes for a general set of d-dimensional vectors T in various applications. A 100(1 - α)% global envelope is a band bounded by two vectors such that the probability that T falls outside this envelope in any of the d points is equal to α. The term 'global' means that this probability is controlled simultaneously for all the d elements of the vectors. The global envelopes can be employed for central regions of functional or multivariate data, for graphical Monte Carlo and permutation tests where the test statistic is multivariate or functional, and for global confidence and prediction bands. Intrinsic graphical interpretation property is introduced for global envelopes. The global envelopes included in the GET package have this property, which particularly helps to interpret test results, by providing a graphical interpretation that shows the reasons of rejection of the tested hypothesis. Examples of different uses of global envelopes and their implementation in the GET package are presented, including global envelopes for single and several one- or two-dimensional functions, Monte Carlo goodness-of-fit tests for simple and composite hypotheses, comparison of distributions, functional analysis of variance, functional linear model, and confidence bands in polynomial regression.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Statistical Software
ISSN
1548-7660
e-ISSN
1548-7660
Volume of the periodical
111
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
40
Pages from-to
1-40
UT code for WoS article
001370160700001
EID of the result in the Scopus database
2-s2.0-85211445138