The limit joint distributions of statistics of three tests of the NIST package

DOI10.1515/DMA-2023-0022OpenAlexW4385989316MaRDI QIDQ6051968

Maksim P. Savelov

Publication date: 20 September 2023

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2023-0022

zbMATH Keywords

joint distribution of statisticsNIST packagecumulative sums testfrequency test within a blockmonobit test

Mathematics Subject Classification ID

Statistics (62-XX) Parametric inference (62Fxx) Communication, information (94Axx)

Cites Work

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• On the trivariate joint distribution of Brownian motion and its maximum and minimum
• Periodic template tests: a family of statistical randomness tests for a collection of binary sequences
• Formulas for the numbers of sequences containing a given pattern given number of times
• The limit joint distributions of statistics of four tests of the NIST package
• Testing the NIST Statistical Test Suite on artificial pseudorandom sequences
• A natural approach to the experimental study of dependence between statistical tests

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