Matrices and the structure of random number sequences

DOI10.1016/0024-3795(85)90192-2zbMath0572.65002OpenAlexW2030269782MaRDI QIDQ1062414

Liang-Huei Tsay, George Marsaglia

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90192-2

zbMATH Keywords

randomnessmaximal periodshift-registerlagged Fibonacci

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

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Uses and abuses of statistical simulation ⋮ A comparative study of some pseudorandom number generators ⋮ A random number generator for PC's ⋮ A review of pseudorandom number generators ⋮ Implementation of a random number generator in OCCAM ⋮ Semiconductor Emitters in Entropy Sources for Quantum Random Number Generation ⋮ Random number generation with the recursion \(X_ t=X_{t-3p}\oplus X_{t-3q}\) ⋮ Thoughts on pseudorandom number generators ⋮ Recent trends in random number and random vector generation ⋮ Random matrix theory over finite fields ⋮ On the Periods of Generalized Fibonacci Recurrences ⋮ Toward a universal random number generator ⋮ Uniform random number generation ⋮ When lagged Fibonacci generators jump ⋮ Generating Uniformly Distributed Random Numbers without Floating Point Operations ⋮ Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis ⋮ Monkey tests for random number generators

Cites Work

• Linear Recurring Sequences
• The k -distribution of generalized feedback shift register pseudorandom numbers
• Partitioning the Period of a Class of m -Sequences and Application to Pseudorandom Number Generation
• Linear Recursive Sequences
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• Generalized Feedback Shift Register Pseudorandom Number Algorithm
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