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

DOI10.1515/DMA-2023-0006OpenAlexW4321639024MaRDI QIDQ2688840

Maksim P. Savelov

Publication date: 6 March 2023

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

Full work available at URL: https://doi.org/10.1515/dma-2023-0006

zbMATH Keywords

``Frequency test within a block``Monobit test``Non-overlapping template matching test``Runs testasymptotically independent statisticsasymptotically uncorrelated statisticsjoint distribution of statisticsNIST package

Mathematics Subject Classification ID

Statistics (62-XX) Probability theory and stochastic processes (60-XX)

Related Items (2)

The limit joint distributions of statistics of three tests of the NIST package ⋮ Limit theorem for a smoothed version of the spectral test for testing the equiprobability of a binary sequence

Uses Software

• NIST Statistical Test Suite
• Frequency Test
• Monobit Test
• Runs Test

Cites Work

• Unnamed Item
• 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 central limit theorem for dependent random variables
• A natural approach to the experimental study of dependence between statistical tests
• On the Strong Law of Large Numbers for Nonnegative Random Variables

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