Natural Test for Random Numbers Generator Based on Exponential Distribution

dc.citation.spage	920
dc.citation.volume	7
dc.contributor.author	Tanackov, Ilija
dc.contributor.author	Sinani, Feta
dc.contributor.author	Stanković, Miomir
dc.contributor.author	Bogdanović, Vuk
dc.contributor.author	Stević, Željko
dc.contributor.author	Vidić, Mladen
dc.contributor.author	Mihaljev-Martinov, Jelena
dc.date.accessioned	2023-07-11T07:38:27Z
dc.date.available	2023-07-11T07:38:27Z
dc.date.issued	2019
dc.description.abstract	We will prove that when uniformly distributed random numbers are sorted by value, their successive di erences are a exponentially distributed random variable Ex( ). For a set of n random numbers, the parameters of mathematical expectation and standard deviation is = 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 = 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.
dc.identifier.doi	10.3390/math7100920
dc.identifier.uri	https://vaseljena.ues.rs.ba/handle/123456789/407
dc.language.iso	en
dc.publisher	MDPI
dc.source	Mathematics
dc.subject	uniform distribution; memoryless; entropy; pseudo-random number generator
dc.title	Natural Test for Random Numbers Generator Based on Exponential Distribution
dc.type	Article

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