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dc.contributor.authorTanackov, Ilijaen
dc.contributor.authorSinani, Fetaen
dc.contributor.authorStanković, Miomiren
dc.contributor.authorBogdanović, Vuken
dc.contributor.authorStević, Željkoen
dc.contributor.authorVidić, Mladenen
dc.contributor.authorMihaljev-Martinov, Jelenaen
dc.date.accessioned2020-12-11T13:04:26Z-
dc.date.available2020-12-11T13:04:26Z-
dc.date.issued2019-10-01en
dc.identifier.issn2227-7390-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4299-
dc.description.abstract© 2019 by the authors. We will prove that when uniformly distributed random numbers are sorted by value, their successive differences are a exponentially distributed random variable Ex(γ). For a set of n random numbers, the parameters of mathematical expectation and standard deviation is γ = n-1. The theorem was verified on four series of 200 sets of 101 random numbers each. The first series was obtained on the basis of decimals of the constant e = 2.718281: :: , the second on the decimals of the constant Π = 3.141592: :: , the third on a Pseudo Random Number generated from Excel function RAND, and the fourth series of True Random Number generated from atmospheric noise. The obtained results confirm the application of the derived theorem in practice.en
dc.publisherMDPI-
dc.relationResearch of technical-technological, staff and organizational capacity of Serbian Railways, from the viewpoint of current and future European Union requirements-
dc.relation.ispartofMathematicsen
dc.subjectEntropy | Memoryless | Pseudo-random number generator | Uniform distributionen
dc.titleNatural test for random numbers generator based on exponential distributionen
dc.typeArticleen
dc.identifier.doi10.3390/math7100920en
dc.identifier.scopus2-s2.0-85073803325en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage920-
dc.relation.issue10en
dc.relation.volume7en
dc.description.rank~M21a-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.project.funderNIH-
crisitem.project.fundingProgramNATIONAL HEART, LUNG, AND BLOOD INSTITUTE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL HEART, LUNG, AND BLOOD INSTITUTE/5R01HL036012-04-
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