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

  • Maksim P. Savelov
Published/Copyright: August 18, 2023

Abstract

For sequences of independent random variables having a Bernoulli distribution the joint distribution and the limit joint distribution of statistics of three tests of the NIST statistical package («Monobit Test», «Frequency Test within a Block», and «Cumulative Sums Test») are obtained. In the case when two blocks are used in «Frequency Test within a Block», pairwise covariance of these statistics is given.


Note

Originally published in Diskretnaya Matematika (2021) 33,№3, 92–106 (in Russian).


Acknowledgment

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

References

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Received: 2021-04-15
Published Online: 2023-08-18
Published in Print: 2023-08-28

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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