Book ChapterDOI
Pseudo-Random Numbers and Congruential Methods
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In this paper, the authors analyze the use of pseudo numbers in mixed or linear congruence methods, multiplicative congruency methods, additive congruences, and additive methods.Abstract:
The pseudo numbers are the essential basis of the simulation. Usually, all randomness involved in the model is obtained from a random number generator that produces a succession of values that are supposed to be realizations of a sequence of independent random variables and identically distributed uniforms U (0, 1). To be more explicit about the use of pseudo numbers, we will analyze concepts such as mixed or linear congruence method, multiplicative congruence method, additive congruence method.read more
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References
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Journal ArticleDOI
A simple unpredictable pseudo random number generator
TL;DR: Two closely-related pseudo-random sequence generators are presented: the ${1 / P} generator, with input P a prime, and the $x^2 \bmod N$generator, which outputs the quotient digits obtained on dividing 1 by P.
Journal ArticleDOI
Random generation of combinatorial structures from a uniform
TL;DR: It is shown that exactly uniform generation of ‘efficiently verifiable’ combinatorial structures is reducible to approximate counting (and hence, is within the third level of the polynomial hierarchy).
Journal ArticleDOI
Random generation of combinatorial structures from a uniform distribution
TL;DR: The class of combinatorial problems involving the random generation from a uniform distribution is considered in this article, where it is shown that almost uniform generation and randomized approximate counting are inter-reducible, and hence, of similar complexity.
Journal ArticleDOI
The organization of brain activations in number comparison: Event-related potentials and the additive-factors method
TL;DR: In this article, the authors describe how the simultaneous recording of event-related potentials (ERPs) in the same task can provide complementary information that cannot be obtained using reaction times alone.
Journal ArticleDOI
Generating good pseudo-random numbers
B. A. Wichmann,I. D. Hill +1 more
TL;DR: In producing a revised generator, extensive use has been made of a test package TestU01 for random number generators, using this, criteria have been devised for the revised generator and other high-quality generators have been identified.