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

  • Maksim P. Savelov EMAIL logo
Published/Copyright: February 24, 2023

Abstract

For sequences of independent random variables having a Bernoulli distribution with parameter p the limit joint distribution of statistics of four tests of the NIST statistical package (« Monobit Test », « Frequency Test within a Block », « Runs Test » and a generalization of « Non-overlapping Template Matching Test ») is obtained. Conditions of asymptotic uncorrelatedness and/or asymptotic independence of these statistics are given.


Note

Originally published in Diskretnaya Matematika (2021) 33, №4, 141–154 (in Russian).


Acknowledgment

The author is grateful to A. M. Zubkov for constant attention.

References

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Received: 2021-04-20
Published Online: 2023-02-24
Published in Print: 2023-02-23

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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