Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression

Filters constructed on the basis of standard local polynomial regression (LPR) methods have been used in the literature to estimate the business cycle. We provide a frequency domain interpretation of the contrast filter obtained by the difference of a series and its long-run LPR component and show t...

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Main Author: Luis J. Álvarez
Format: Article
Language:English
Published: MDPI AG 2017-01-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/5/1/1
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spelling doaj-6ac6d8c93abe496489550ebc780081bf2020-11-24T22:52:26ZengMDPI AGEconometrics2225-11462017-01-0151110.3390/econometrics5010001econometrics5010001Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial RegressionLuis J. Álvarez0Banco de España, Madrid 28014, SpainFilters constructed on the basis of standard local polynomial regression (LPR) methods have been used in the literature to estimate the business cycle. We provide a frequency domain interpretation of the contrast filter obtained by the difference of a series and its long-run LPR component and show that it operates as a kind of high-pass filter, so that it provides a noisy estimate of the cycle. We alternatively propose band-pass local polynomial regression methods aimed at isolating the cyclical component. Results are compared to standard high-pass and band-pass filters. Procedures are illustrated using the US GDP series.http://www.mdpi.com/2225-1146/5/1/1business cycleslocal polynomial regressionfilteringhigh-passband-passUS cycles
collection DOAJ
language English
format Article
sources DOAJ
author Luis J. Álvarez
spellingShingle Luis J. Álvarez
Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
Econometrics
business cycles
local polynomial regression
filtering
high-pass
band-pass
US cycles
author_facet Luis J. Álvarez
author_sort Luis J. Álvarez
title Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
title_short Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
title_full Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
title_fullStr Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
title_full_unstemmed Business Cycle Estimation with High-Pass and Band-Pass Local Polynomial Regression
title_sort business cycle estimation with high-pass and band-pass local polynomial regression
publisher MDPI AG
series Econometrics
issn 2225-1146
publishDate 2017-01-01
description Filters constructed on the basis of standard local polynomial regression (LPR) methods have been used in the literature to estimate the business cycle. We provide a frequency domain interpretation of the contrast filter obtained by the difference of a series and its long-run LPR component and show that it operates as a kind of high-pass filter, so that it provides a noisy estimate of the cycle. We alternatively propose band-pass local polynomial regression methods aimed at isolating the cyclical component. Results are compared to standard high-pass and band-pass filters. Procedures are illustrated using the US GDP series.
topic business cycles
local polynomial regression
filtering
high-pass
band-pass
US cycles
url http://www.mdpi.com/2225-1146/5/1/1
work_keys_str_mv AT luisjalvarez businesscycleestimationwithhighpassandbandpasslocalpolynomialregression
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