We establish the consistency and asymptotic normality of a certain minimum contrast estimator, introduced by Taniguchi (1979), for Gaussian long-range dependent processes. The estimator is based on regression over the log-periodogram in a parametric setting.
@article{1081449603,
author = {Lude\~na, Carenne},
title = {Parametric estimation for Gaussian long-range dependent processes based on the log-periodogram},
journal = {Bernoulli},
volume = {6},
number = {6},
year = {2000},
pages = { 709-728},
language = {en},
url = {http://dml.mathdoc.fr/item/1081449603}
}
Ludeña, Carenne. Parametric estimation for Gaussian long-range dependent processes based on the log-periodogram. Bernoulli, Tome 6 (2000) no. 6, pp. 709-728. http://gdmltest.u-ga.fr/item/1081449603/