Pseudorandom Number Generation by Nonlinear Methods

DOI10.2307/1403620zbMath0840.65005OpenAlexW2067912871MaRDI QIDQ4857110

Jürgen Eichenauer-Herrmann

Publication date: 1 January 1996

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1403620

zbMATH Keywords

parallel computationpseudorandom number generationlow discrepancy sequencesnonlinear methodsdiscrepancy measureinversive congruential sequences

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (22)

Nonoverlapping pairs of explicit inversive congruential pseudorandom numbers ⋮ Equidistribution properties of quadratic congruential pseudorandom numbers ⋮ Discrepancy bounds for nonoverlapping pairs of quadratic congruential pseudorandom numbers ⋮ Compound cubic congruential pseudorandom numbers ⋮ Random numbers from a delay equation ⋮ Quadratic congruential pseudorandom numbers: Distribution of triples ⋮ Lower bounds for the discrepancy of triples of inversive congruential pseudorandom numbers with power of two modulus ⋮ Unnamed Item ⋮ Compound inversive congruential pseudorandom numbers: an average-case analysis ⋮ Pseudorandom vector generation by the compound inversive method ⋮ Average equidistribution properties of compound nonlinear congruential pseudorandom numbers ⋮ Inversive congruential pseudorandom numbers: distribution of triples ⋮ Quadratic congruential pseudorandom numbers: Distribution of lagged pairs ⋮ On the performance of birthday spacings tests with certain families of random number generators ⋮ Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences ⋮ Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the period ⋮ Relative merits of random number generators: Indirect approach ⋮ Average discrepancy, hyperplanes, and compound pseudorandom numbers ⋮ Parallel streams of nonlinear congruential pseudorandom numbers ⋮ Equidistribution properties of compound inversive pseudorandom vectors ⋮ Equidistribution properties of inversive congruential pseudorandom numbers with power of two modulus ⋮ Are there hyperbolas in the scatter plots of inversive congruential pseudorandom numbers?

This page was built for publication: Pseudorandom Number Generation by Nonlinear Methods