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math.ST2007
Dependent Lindeberg central limit theorem and some applications
Jean-Marc Bardet, Paul Doukhan, Gabriel Lang +1
In this paper, a very useful lemma (in two versions) is proved: it simplifies notably the essential step to establish a Lindeberg central limit theorem for dependent processes. The…
math.ST2007
Uniform limit theorems for the integrated periodogram of weakly dependent time series and their applications to Whittle's estimate
Jean-Marc Bardet, Paul Doukhan, José Rafael León
We prove uniform convergence results for the integrated periodogram of a weakly dependent time series, namely a law of large numbers and a central limit theorem. These results are…