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The Generalized Serial Test and the Binary Expansion of
I. J. Good and T. N. Gover
Journal of the Royal Statistical Society. Series A (General)
Vol. 130, No. 1 (1967), pp. 102-107
Stable URL: http://www.jstor.org/stable/2344040
Page Count: 6
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The generalized serial test is a very useful test for the randomness or pseudo-randomness of sequences, especially binary sequences. Unfortunately the test has been incorrectly used several times, and our purpose is to give a clear exposition of its correct use, with an example. The example used is the binary expansion of √ 2 to 10,000 places. Previous statistical analyses of the expansions of familiar irrational numbers have, as far as we know, been carried out exclusively for decimal expansions.
Journal of the Royal Statistical Society. Series A (General) © 1967 Royal Statistical Society