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On the periodic properties of self-decimated generators of pseudorandom numbers

Sergey Agievich·Oleg Solovey
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Abstract

We consider a self-decimated generator of pseudorandom numbers and examine the preperiod $λ$ and the period $μ$ of its state sequence. We obtain the expectations and variances of $λ$ and $μ$ for the case when decimation steps are chosen randomly and independently from the set {1,2}.

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Sergey Agievich, Oleg Solovey. 2005-05-30. On the periodic properties of self-decimated generators of pseudorandom numbers. https://arxiv.org/abs/math/0505660

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