A bivariate CLT under rho-prime mixing

A Central Limit Theorem for Periodograms Under Rho-Prime Mixing

“…The argument is fairly standard, and in fact very similar to a result which the author has already published (see [7]). Theorem 1.1 makes it possible to prove (in a forthcoming paper) a weak-type law for periodograms, which does not require a summable cumulant assumption.…”