Preliminary test estimation for regression models with long-memory disturbance

Masanobu Taniguchi, Hiroaki Ogata, Hiroshi Shiraishi

研究成果: Article査読

2 被引用数 (Scopus)

抄録

For a class of time series regression models with long-memory disturbance, we are interested in estimation of a subset of the regression coefficient vector and spectral parameter of the residual process when the complementary subset is suspected to be close to 0. In this situation, we evaluate the mean square errors of the restricted and unrestricted MLE and a preliminary test estimator when the complementary parameters are contiguous to zero vector. The results are expressed in terms of the regression spectra and the residual spectra. Since we assume long-memory dependence for the disturbance, the asymptotics are much different from the case of i.i.d. disturbance. Numerical studies elucidate some interesting features of regression and long-memory structures.

本文言語English
ページ(範囲)3213-3224
ページ数12
ジャーナルCommunications in Statistics - Theory and Methods
38
16-17
DOI
出版ステータスPublished - 2009 1 1

ASJC Scopus subject areas

  • Statistics and Probability

フィンガープリント 「Preliminary test estimation for regression models with long-memory disturbance」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル