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dc.contributor.authorChristoph, Gerd-
dc.contributor.authorUlyanov, Vladimir V.-
dc.date.accessioned2021-04-23T09:04:25Z-
dc.date.available2021-04-23T09:04:25Z-
dc.date.issued2020-
dc.date.submitted2020-
dc.identifier.urihttps://opendata.uni-halle.de//handle/1981185920/36603-
dc.identifier.urihttp://dx.doi.org/10.25673/36371-
dc.description.abstractWe consider high-dimension low-sample-size data taken from the standard multivariate normal distribution under assumption that dimension is a random variable. The second order Chebyshev–Edgeworth expansions for distributions of an angle between two sample observations and corresponding sample correlation coefficient are constructed with error bounds. Depending on the type of normalization, we get three different limit distributions: Normal, Student’s t-, or Laplace distributions. The paper continues studies of the authors on approximation of statistics for random size samples.eng
dc.description.sponsorshipOVGU-Publikationsfonds 2021-
dc.language.isoeng-
dc.relation.ispartofhttp://www.mdpi.com/journal/mathematics-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectSecond order expansionseng
dc.subjectHigh-dimensionaleng
dc.subjectLow sample sizeeng
dc.subjectRandom sample sizeeng
dc.subjectLaplace distributioneng
dc.subjectStudent’s t-distributioneng
dc.subject.ddc510.72-
dc.titleSecond order expansions for high-dimension low-sample-size data statistics in random settingeng
dc.typeArticle-
dc.identifier.urnurn:nbn:de:gbv:ma9:1-1981185920-366038-
local.versionTypepublishedVersion-
local.bibliographicCitation.journaltitleMathematics-
local.bibliographicCitation.volume8-
local.bibliographicCitation.issue7-
local.bibliographicCitation.pagestart1-
local.bibliographicCitation.pageend28-
local.bibliographicCitation.publishernameMDPI-
local.bibliographicCitation.publisherplaceBasel-
local.bibliographicCitation.doi10.3390/math8071151-
local.openaccesstrue-
dc.identifier.ppn1725350351-
local.bibliographicCitation.year2020-
cbs.sru.importDate2021-04-23T08:56:51Z-
local.bibliographicCitationEnthalten in Mathematics - Basel : MDPI, 2013-
local.accessrights.dnbfree-
Enthalten in den Sammlungen:Fakultät für Mathematik (OA)

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