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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 2, Pages 367–373
(Mi tvp431)
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This article is cited in 6 scientific papers (total in 7 papers)
Short Communications
Periods of Pseudo-Random Sequences
I. M. Sobol' Moscow
Abstract:
Sequences of pseudo-random numbers are usually generated by recurrence formulas of the type (1). In order to increase the length $L$ of the non-periodic part of a sequence, the “perturbed” sequence (2) may be used. The asymptotic distributions (3) and (4) of $L$ and $P$ are derived from elementary probability considerations, where $P$ is the length of the period that has been formed. It follows from (5) that in that case one can expect an increase in $L$ and $P$ by the factor $\sqrt M$.
A numerical example shows that such distributions may be of practical value, though $P$ can hardly be regarded as random.
Received: 17.05.1963
Citation:
I. M. Sobol', “Periods of Pseudo-Random Sequences”, Teor. Veroyatnost. i Primenen., 9:2 (1964), 367–373; Theory Probab. Appl., 9:2 (1964), 333–338
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Abstract page: | 451 | Full-text PDF : | 391 | First page: | 7 |
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