Geodesic
The limit joint distributions of statistics of three tests of the NIST package
Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 92-106

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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.
Keywords: joint distribution of statistics, NIST package, «Monobit Test», «Frequency Test within a Block», «Cumulative Sums Test». 
@article{DM_2021_33_3_a6,
     author = {M. P. Savelov},
     title = {The limit joint distributions of statistics of three tests of the {NIST} package},
     journal = {Diskretnaya Matematika},
     pages = {92--106},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_3_a6/}
}
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M. P. Savelov. The limit joint distributions of statistics of three tests of the NIST package. Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 92-106. http://geodesic.mathdoc.fr/item/DM_2021_33_3_a6/