Proved Random Numbers Obtained from Hardware Devices

DOI10.1080/03610918.2012.725143zbMath1302.65022OpenAlexW2110892992MaRDI QIDQ5415900

René Blacher

Publication date: 19 May 2014

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2012.725143

zbMATH Keywords

central limit theoremFibonacci sequencerandom numbersdependenceextractorshigher order correlation coefficientscorrect modelsXOR limit theorem

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Generating quasi-random sequences from semi-random sources
• Iterating von Neumann's procedure for extracting random bits
• Some characterizations of the uniform distribution with applications to random number generation
• Extracting randomness: A survey and new constructions
• A new weak dependence condition and applications to moment inequalities
• Central limit theorem by polynomial dependence coefficients
• Central limit theorem by moments
• Higher Order Correlation Coefficients
• Deterministic Extractors for Bit‐Fixing Sources by Obtaining an Independent Seed
• Extracting Randomness Using Few Independent Sources
• Deterministic extractors for small-space sources
• Extracting all the randomness and reducing the error in Trevisan's extractors