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Statistical convergence of complex uncertain sequences defined by Orlicz function

dc.creatorNath, Pankaj Kumar
dc.creatorTripathy, Binod Chandra
dc.date2020-04-24
dc.date.accessioned2020-05-19T17:01:23Z
dc.date.available2020-05-19T17:01:23Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/4123
dc.identifier10.22199/issn.0717-6279-2020-02-0019
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/134099
dc.descriptionComplex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely sequences of complex uncertain sequences defined by Orlicz function. In addition, Decomposition Theorems and relationships among them are discussed.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/article/view/4123/3363
dc.rightsCopyright (c) 2020 Pankaj Kumar Nath, Binod Chandra Tripathyen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol 39 No 2 (2020); 301-315en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 2 (2020); 301-315es-ES
dc.source0717-6279
dc.subjectUncertainty theoryen-US
dc.subjectComplex uncertain variableen-US
dc.subjectStatistical convergenceen-US
dc.subject40A05en-US
dc.subjectConvergence and divergence of series and sequencesen-US
dc.subject40A35en-US
dc.subjectIdeal and statistical convergenceen-US
dc.subject46E30en-US
dc.subjectSpaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)en-US
dc.subject60B10en-US
dc.subjectConvergence of probability measuresen-US
dc.subject60B12en-US
dc.subjectLimit theorems for vector-valued random variables (infinite-dimensional case)en-US
dc.subject60F17en-US
dc.subjectFunctional limit theorems; invariance principlesen-US
dc.titleStatistical convergence of complex uncertain sequences defined by Orlicz functionen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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