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Expansions in Appell polynomials of the convolutions of probability distributions

dc.contributor.authorBikelis, Algimantas Jonas
dc.contributor.authorPadvelskis, Kazimieras
dc.date.accessioned2023-09-18T19:34:34Z
dc.date.available2023-09-18T19:34:34Z
dc.date.issued2013
dc.identifier.issn1392-5113
dc.identifier.other(BIS)VDU02-000014292
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/140998
dc.description.abstractWe use the composition method to analyse the convolutions of probability distributions by emploing the Appell polynomials and Bergström identity. Our approximation is based on the probability distributions which have the inverse generalized measure of bounded variation. The idea to use the accompanying probability distribution [....], was first proposed by B.V. Gnedenko.eng
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyIndex Copernicus
dc.relation.isreferencedbyChemical abstracts
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttp://www.mii.lt/NA/
dc.titleExpansions in Appell polynomials of the convolutions of probability distributions
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references13
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVytauto Didžiojo universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.ltTikimybinių skirstinių sąsūka
dc.subject.ltLydintis dėsnis
dc.subject.ltAPEL daugianaris
dc.subject.ltBergström tapatybė.99
dc.subject.enConvolution of probability distributions
dc.subject.enAccompanying law
dc.subject.enAppell polynomials
dc.subject.enBergström identity
dcterms.sourcetitleNonlinear analysis: modelling and control
dc.description.issueno. 3
dc.description.volumeVol. 18
dc.publisher.nameInstitute of Mathematics and Informatics
dc.publisher.cityVilnius
dc.identifier.doiVGT02-000026816
dc.identifier.elaba4734764


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