Tests of randomness by the gambler's ruin algorithm

Chihurn Kim; Geon Ho Choe; Dong Han Kim

doi:10.1016/j.amc.2007.09.060

Tests of randomness by the gambler's ruin algorithm

Chihurn Kim
, Geon Ho Choe
, Dong Han Kim

Department of Mathematics Education

Korea Advanced Institute of Science and Technology

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In the gambler's ruin algorithm on the cyclic group Z_n = {0, 1, ..., n - 1} we consider arrival time at 0 starting from a fixed point x ≠ 0 and use several versions of arrival time algorithm to test pseudorandom number generators. This kind of test based on the exact probability density for a random walk on a finite group is done for the first time. The test results show hidden defects in some generators such as combined multiple recursive generators and Mersenne Twister generators.

Original language	English
Pages (from-to)	195-210
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	199
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.09.060
State	Published - 15 May 2008

Keywords

Gambler's ruin
Pseudorandom number generator
Random walk

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10.1016/j.amc.2007.09.060

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Tests of randomness by the gambler's ruin algorithm

Abstract

Keywords

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