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Journal ArticleDOI

A new inversive congruential pseudorandom number generator with power of two modulus

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TLDR
In the present paper a new inversive congruential generator with power of two modulus is introduced and periodicity and statistical independence properties of the generated sequences are analyzed.
Abstract
Pseudorandom numbers are important ingredients of stochastic simulations. Their quality is fundamental for the strength of the simulation outcome. The inversive congruential method for generating uniform pseudorandom numbers is a particularly attractive alternative to linear congruential generators, which show many undesirable regularities. In the present paper a new inversive congruential generator with power of two modulus is introduced. Periodicity and statistical independence properties of the generated sequences are analyzed. The results show that these inversive congruential generators perform very satisfactorily.

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Citations
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Book ChapterDOI

New Developments in Uniform Pseudorandom Number and Vector Generation

TL;DR: A survey of recent and new developments in the areas of uniform pseudorandom number and uniform Pseudo-Pseudorandom vector generation is presented.
Journal ArticleDOI

Inversive congruential pseudorandom numbers : a tutorial

TL;DR: In this paper, the authors dealt exclusively with the problem of pseudorandom number generation in the interval [0, 1] and showed that for a large positive integer m and integers a, b, yo a linear congruential sequence (y, n),n-o of nonnegative integers less than m is defined by
Journal ArticleDOI

Statistical independence of a new class of inversive congruential pseudorandom numbers

TL;DR: A new class of inversive congruential generators is introduced and it is shown that they have excellent statistical independence properties and model true random numbers very closely.
References
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Book

The Art of Computer Programming

TL;DR: The arrangement of this invention provides a strong vibration free hold-down mechanism while avoiding a large pressure drop to the flow of coolant fluid.
Book

Finite fields

Rudolf Lidl
Journal ArticleDOI

Quasi-Monte Carlo methods and pseudo-random numbers

TL;DR: In this paper, the authors propose a method to solve the problem of the problem: this paper...,.. ].. ).. ]... )...
Journal ArticleDOI

A Review of Pseudorandom Number Generators

TL;DR: The conclusion is that pseudorandom number generators with the required properties are now available, but the generators actually used are often not good enough.