2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.PR2007★ 2 cited
Weakly dependent chains with infinite memory
Paul Doukhan, Olivier Wintenberger
We prove the existence of a weakly dependent strictly stationary solution of the equation called {\em chain with infinite memory}. Here th…
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…