Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the period

DOI10.1090/S0025-5718-01-01328-XzbMath0991.65004MaRDI QIDQ2781225

Frank Emmerich

Publication date: 19 March 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

exponential sumsstar discrepancyuniform pseudorandom numbersaverage equidistribution behaviouraverage statistical independence propertiesdigital inversive method

Mathematics Subject Classification ID

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

Cites Work

• Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation
• On the distribution of pseudorandom numbers and vectors generated by inversive methods
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• Inversive Congruential Pseudorandom Numbers: A Tutorial
• Statistical independence properties of inversive pseudorandom vectors over parts of the period
• General discrepancy estimates: the Walsh function system
• Pseudorandom Number Generation by Nonlinear Methods
• Digital inversive pseudorandom numbers
• Pseudorandom vector generation by the inversive method
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