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dc.contributor.authorErçelik, Elifen_US
dc.date.accessioned2021-07-09T13:56:10Z
dc.date.available2021-07-09T13:56:10Z
dc.date.issued2021
dc.identifier.citationErçelik, E. (2021). Convergency rate of mean integrated square error in density estimation based on Hermite polynomials. TWMS Journal of Applied and Engineering Mathematics, 11(3), 717-723.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3185
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/731
dc.description.abstractThe estimate of a probability density using a sequence X1, X2, ..., XN of independent and identically distributed (i.i.d) random variables with common unknown density function is studied by means of Hermite functions. We obtained convergency rate of the mean integrated square error (MISE) of density estimators by using delta sequences which are based on the hermite functions when the support of the density function is infinite. Then we obtained convergency rate of the mean square error (MSE) and MISE of estimator for the densities having compact support. The contribution of this work is improving the results of former publications about rate of convergence of estimators based on Hermite series.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDelta sequencesen_US
dc.subjectHermite functionsen_US
dc.subjectOrthogonal polynomialsen_US
dc.subjectRates of convergenceen_US
dc.titleConvergency rate of mean integrated square error in density estimation based on Hermite polynomialsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage717
dc.identifier.endpage723
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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