著者
Ekkehart Schlicht
出版者
THE JAPAN STATISTICAL SOCIETY
雑誌
JOURNAL OF THE JAPAN STATISTICAL SOCIETY (ISSN:18822754)
巻号頁・発行日
vol.35, no.1, pp.99-119, 2005 (Released:2006-01-19)
参考文献数
10
被引用文献数
34 40

This note gives a statistical description of the Hodrick-Prescott Filter (1997), originally proposed by Leser (1961). A maximum-likelihood estimator is derived and a related moments estimator is proposed that has a straightforward intuitive interpretation and coincides with the maximum-likelihood estimator for long time series. The method is illustrated by an application and several simulations. The statistical treatment in the state-space tradition implies some scepticism regarding the interpretation in terms of low-frequency filtering.