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Semiparametric estimation of the long-range parameter

Hidalgo, Javier and Yajima, Y. (2003) Semiparametric estimation of the long-range parameter. Annals of the Institute of Statistical Mathematics, 55 (4). pp. 705-736. ISSN 0020-3157

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Identification Number: 10.1007/BF02523390


We study two estimators of the long-range parameter of a covariance stationary linear process. We show that one of the estimators achieve the optimal semiparametric rate of convergence, whereas the other has a rate of convergence as close as desired to the optimal rate. Moreover, we show that the estimators are asymptotically normal with a variance, which does not depend on any unknown parameter, smaller than others suggested in the literature. Finally, a small Monte Carlo study is included to illustrate the finite sample relative performance of our estimators compared to other suggested semiparametric estimators. More specifically, the Monte-Carlo experiment shows the superiority of the proposed estimators in terms of the Mean Squared Error.

Item Type: Article
Official URL:
Additional Information: © 2003 The Institute of Statistical Mathematics
Divisions: Economics
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
JEL classification: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C14 - Semiparametric and Nonparametric Methods
Date Deposited: 07 Oct 2008 09:05
Last Modified: 20 Feb 2021 03:39

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