We consider the limit distribution of maxima of periodograms for stationary processes. Our method is based on m-dependent approximation for stationary processes and a moderate deviation result.
@article{1247836665,
author = {Lin, Zhengyan and Liu, Weidong},
title = {On maxima of periodograms of stationary processes},
journal = {Ann. Statist.},
volume = {37},
number = {1},
year = {2009},
pages = { 2676-2695},
language = {en},
url = {http://dml.mathdoc.fr/item/1247836665}
}
Lin, Zhengyan; Liu, Weidong. On maxima of periodograms of stationary processes. Ann. Statist., Tome 37 (2009) no. 1, pp. 2676-2695. http://gdmltest.u-ga.fr/item/1247836665/