On the Covariance of a Random Sequence Generated by the Fractional Part of Multiples of a Uniformly Distributed Random Variable
نویسنده
چکیده
Let V be uniformly distributed over 0; 1) and n = nV ? bnV c, n = 1; 2; ::: Then COV (m+n ; n) = 1 12 gcd(m+n;n) lcm(m+n;n) which implies that n are asymptotically uncorrelated.
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