On the discrepancy of quadratic congruential pseudorandom numbers

DOI10.1016/0377-0427(91)90046-MzbMath0731.11046MaRDI QIDQ807667

Harald Niederreiter, Jürgen Eichenauer-Herrmann

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

pseudorandom numbersquadratic congruential methoddiscrepancy measurestatistical independence of consecutive pairs

Mathematics Subject Classification ID

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

Related Items (16)

On the discrepancy of quadratic congruential pseudorandom numbers with power of two modulus ⋮ 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 ⋮ Quadratic congruential pseudorandom numbers: Distribution of triples ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ Lower bounds for the discrepancy of triples of inversive congruential pseudorandom numbers with power of two modulus ⋮ Inversive congruential pseudorandom numbers: distribution of triples ⋮ Quadratic congruential pseudorandom numbers: Distribution of lagged pairs ⋮ A remark on the discrepancy of quadratic congruential pseudorandom numbers ⋮ Construction of inversive congruential pseudorandom number generators with maximal period length ⋮ Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers ⋮ The b-adic Diaphony as a Tool to Study Pseudo-randomness of Nets ⋮ Pseudo-random properties of a linear congruential generator investigated by b-adic diaphony ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II

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