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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 2, Pages 370–378
(Mi tvp2242)
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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
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
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
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https://www.mathnet.ru/eng/tvp2242 https://www.mathnet.ru/eng/tvp/v16/i2/p370
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Abstract page: | 128 | Full-text PDF : | 78 |
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