{"title":"Ridge Regression Representations of the Generalized Hodrick-Prescott Filter","authors":"Hiroshi Yamada","doi":"10.14490/JJSS.45.121","DOIUrl":null,"url":null,"abstract":"The Hodrick-Prescott (HP) filter is a popular econometric tool for estimating the trend component of a given time series. Paige and Trindade (2010) present a ridge regression representation of the HP filter, which enhances our understanding of the filter. Schlicht (2005) presents another ridge regression representation of the HP filter. In this paper, we aim to generalize their results. In addition, we present an orthogonal decomposition of the generalized HP and newly introduce the pure generalized HP filter.","PeriodicalId":326924,"journal":{"name":"Journal of the Japan Statistical Society. Japanese issue","volume":"73 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Japan Statistical Society. Japanese issue","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14490/JJSS.45.121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
Abstract
The Hodrick-Prescott (HP) filter is a popular econometric tool for estimating the trend component of a given time series. Paige and Trindade (2010) present a ridge regression representation of the HP filter, which enhances our understanding of the filter. Schlicht (2005) presents another ridge regression representation of the HP filter. In this paper, we aim to generalize their results. In addition, we present an orthogonal decomposition of the generalized HP and newly introduce the pure generalized HP filter.
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