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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 2, Pages 370–378 (Mi tvp2242)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On distribution of random numbers produced by sequential physical generators

G. A. Kozlov

Leningrad
Full-text PDF (532 kB) Citations (2)
Abstract: In certain cases, when using Monte-Carlo technique random numbers are formed by filling up a computer word (or its parts) with a piece of stationary random binary sequence (SRBS) produced by a sequential physical binary digit generator.
In the paperi SRBS properties and distributions of random numbers formed in such a way are studied. It is shown that the sequence of their distribution functions converges to a continuous singular function as the length of SRBS pieces forming random numbers inreases. And this function is an eigen-function of a certain linear operator. Some properties of these functions and operators are investigated.
Received: 31.07.1969
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 2, Pages 369–378
DOI: https://doi.org/10.1137/1116037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. A. Kozlov, “On distribution of random numbers produced by sequential physical generators”, Teor. Veroyatnost. i Primenen., 16:2 (1971), 370–378; Theory Probab. Appl., 16:2 (1971), 369–378
Citation in format AMSBIB
\Bibitem{Koz71}
\by G.~A.~Kozlov
\paper On distribution of random numbers produced by sequential physical generators
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 2
\pages 370--378
\mathnet{http://mi.mathnet.ru/tvp2242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=292255}
\zmath{https://zbmath.org/?q=an:0238.60012}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 2
\pages 369--378
\crossref{https://doi.org/10.1137/1116037}
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  • https://www.mathnet.ru/eng/tvp/v16/i2/p370
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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