Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers
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Publication:4293977
DOI10.2307/2153174zbMath0795.65002OpenAlexW4232960897MaRDI QIDQ4293977
Publication date: 10 July 1994
Full work available at URL: https://doi.org/10.2307/2153174
statistical independencelinear congruential pseudorandom numbersinversive congruential generatorsrational exponential sumsnonlinear congruential methodsWeil- Stepanov bounds
Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)
Related Items (22)
Multisequences with high joint nonlinear complexity ⋮ On a new class of pseudorandom numbers for simulation methods ⋮ On the structure of digital explicit nonlinear and inversive pseudorandom number generators ⋮ A search for good pseudo-random number generators: survey and empirical studies ⋮ On a nonlinear congruential pseudorandom number generator ⋮ The serial test for a nonlinear pseudorandom number generator ⋮ Tests of randomness by the gambler's ruin algorithm ⋮ On the Structure of Inversive Pseudorandom Number Generators ⋮ Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation ⋮ A new empirical test for parallel pseudo-random number generators ⋮ On the joint linear complexity profile of explicit inversive multisequences ⋮ On Generalized Inversive Congruential Pseudorandom Numbers ⋮ Further discrepancy bounds and an Erdös-Turán-Koksma inequality for hybrid sequences ⋮ Uniform random number generation ⋮ Average discrepancy, hyperplanes, and compound pseudorandom numbers ⋮ On the linear complexity profile of some new explicit inversive pseudorandom numbers ⋮ Are there hyperbolas in the scatter plots of inversive congruential pseudorandom numbers? ⋮ Good random number generators are (not so) easy to find ⋮ On the linear complexity profile of explicit nonlinear pseudorandom numbers. ⋮ Explicit inversive congruential pseudorandom numbers: The compound approach ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II ⋮ The vortex filament equation as a pseudorandom generator
Uses Software
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