package providing access to the
battery of tests for random number generators developed by Robert G. Brown
had been updated to version 3.1.1 a while back, and I had been a little
behind with updating RDieHarder.
Version 0.1.2 rectifies this.
The package still comes with a vignette describing both
package. And because pictures speak louder than a thousand (blogged) words,
here is the first chart from the vignette:
On the left, we have a poor random-number generator (RNG), the older
ran0 function. The histogram illustrating the distribution of
test scores is somewhat uneven. An ideal (and asymptotic) outcode is a
uniform distribution of p-values from the test. The empirical cumulative
distribution function (ECDF) below indicates a somewhat pronounced departure from
the diagonal. Informally speaking, this is what the
(Kuiper-)Kolmogorov-Smirnov test quantifies, and we see (in the text in the
chart) that the null of can be rejected an conventional levels. Based on
this example (which had a short run-time with few samples) we would indeed mistrust
this (known bad) RNG.
On the right, we have a more recent and trusted RNG, the well-known
Twister. The ten histogram buckets are all closer to the expected value
of one-tenth, the estimated density is closer to flat, the ECDF is closer to
the diagonal and the tests don’t reject—so no reason to mistrust this RNG
based on this test alone.
And these six look fine, as you’d expect. (And yes, the ECDF charts should
each be on a square plot. Another time…)