Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Checking the Quality of Approximation of $p$-values in Statistical Tests
  for Random Number Generators by Using a Three-Level Test   Statistical tests of pseudorandom number generators (PRNGs) are applicable to
any type of random number generators and are indispensable for evaluation.
While several practical packages for statistical tests of randomness exist,
they may suffer from a lack of reliability: for some tests, the amount of
approximation error can be deemed significant. Reducing this error by finding a
better approximation is necessary, but it generally requires an enormous amount
of effort. In this paper, we introduce an experimental method for revealing
defects in statistical tests by using a three-level test proposed by Okutomi
and Nakamura. In particular, we investigate the NIST test suite and the test
batteries in TestU01, which are widely used statistical packages. Furthermore,
we show the efficiency of several modifications for some tests.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas