Tuning the Collision Test for Stringency
نویسنده
چکیده
The collision test is one of the most important statistical tests for random number generators. It simulates the throwing of balls randomly into urns. A problem in applying this test is to determine the number of urns, m, and the number of balls, n, so that the test is among the most stringent possible on a computer available for testing. Our studies showed that for a fixed m, n shall be determined subject to maximizing the variance of the number of collisions. With this rule, the stringency of the resulting test increases as m increases. And the test of 23 2 ≥ m flunked a recorded number of generators, including congruential generators, shift-register generators, additive generators of lags less than 40, subtract-with-borrow generators of lags less than 24, and a combination of a congruential and a shift-register generator.
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