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JUCS
2006

Pseudorandom Number Generation: Impossibility and Compromise

8 years 10 months ago
Pseudorandom Number Generation: Impossibility and Compromise
Abstract: Pseudorandom number generators are widely used in the area of simulation. Defective generators are still widely used in standard library programs, although better pseudorandom number generators such as the Mersenne Twister are freely available. This manuscript gives a brief explanation on pseudorandom number generators for Monte Carlo simulation. The existing definitions of pseudorandomness are not satisfactorially practical, since the generation of sequences satisfying the definitions is sometimes impossible, somtimes rather slow. As a compromise, to design a fast and reliable generator, some mathematical indices are used as measures of pseudorandomness, such as the period and the higher-dimensional equidistribution property. There is no rigorous justification for the use of these indices as measures of pseudorandomness, but experiences show their usefulness in choosing pseudorandom number generators. Key Words: Random number generation, Pseudorandom number generation, Merse...
Makoto Matsumoto, Mutsuo Saito, Hiroshi Haramoto,
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JUCS
Authors Makoto Matsumoto, Mutsuo Saito, Hiroshi Haramoto, Takuji Nishimura
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