On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus
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Publication:803195
DOI10.1007/BF02568399zbMath0727.11027OpenAlexW4230914157MaRDI QIDQ803195
Publication date: 1991
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155610
exponential sumsdiscrepancypseudorandom numbersstatistical independenceuniform distribution of sequencesinversionsserial test
Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)
Related Items (6)
A brief and understandable guide to pseudo-random number generators and specific models for security ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ 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 ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II
Cites Work
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- On the discrepancy of quadratic congruential pseudorandom numbers
- On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\)
- On the period length of congruential pseudorandom number sequences generated by inversions
- On the structure of quadratic congruential sequences
- Statistical independence of nonlinear congruential pseudorandom numbers
- Marsaglia's lattice test and non-linear congruential pseudo-random number generators
- Remarks on nonlinear congruential pseudorandom numbers
- Pseudo-random numbers and optimal coefficients
- Inversive Congruential Pseudorandom Numbers Avoid the Planes
- A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
- Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers
- The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
- Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus
- Quasi-Monte Carlo methods and pseudo-random numbers
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