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math.ST2021
The reference distributions of Maurer's universal statistical test and its improved tests
Yasunari Hikima, Atsushi Iwasaki, Ken Umeno
Maurer's universal statistical test can widely detect non-randomness of given sequences. Coron proposed an improved test, and further Yamamoto and Liu proposed a new test based on…
math.ST2019★ 2 cited
Independent Randomness Tests based on the Orthogonalized Non-overlapping Template Matching Test
Atsushi Iwasaki
In general, randomness tests included in a test suite are not independent of each other. This renders it difficult to fix a rational criterion through the whole test suite with an…
math.ST2018★ 3 cited
Deriving the Variance of the Discrete Fourier Transform Test Using Parseval's Theorem
Atsushi Iwasaki
The discrete Fourier transform test is a randomness test included in NIST SP800-22. However, the variance of the test statistic is smaller than expected and the theoretical value o…