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Band-Pass Filtering with High-Dimensional Time Series

Alessandro Giovannelli, Marco Lippi, Tommaso Proietti

arXiv 11 May 2023 · Econometrics · publishedJournal of Time Series Analysis (2026) · 3 citations (OpenAlex)

arXiv:2305.06618 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium-to-long-run component of economic growth of a high-dimensional time series, available at the monthly frequency. The smooth principal components result from applying a cross-sectional filter distilling the low-pass component of growth in real time. The outcome of the projection is a monthly nowcast of the medium-to-long-run component of GDP growth. After discussing the theoretical properties of the indicator, we deal with the assessment of its reliability and predictive validity with reference to a panel of macroeconomic U.S. time series.

Citation extraction

39
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67
in-text mentions
39
distinct cited
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main-text words

appendix boundary found by appendix_command · 75% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Altissimo2010new APACrefauthors Altissimo, F. , Cristadoro, R. , For… (2010) 20101.00063100%
2forni2005generalized APACrefauthors Forni, M. , Hallin, M. , Lippi,… (2005) 20050.92843100%
3stock2002forecasting APACrefauthors Stock, J H. \ Watson, M W. APACr… (2002) 2002 10.92843100%
4stock2002macroeconomic APACrefauthors Stock, J H. \ Watson, M W. APA… (2002) 2002 20.84333100%
5baxter1999measuring APACrefauthors Baxter, M. \ King, R G. APACrefau… (1999) 19990.7373367%
6mccracken2016fred APACrefauthors McCracken, M W. \ Ng, S. APACrefaut… (2016) 20160.73732100%
7proietti2008model APACrefauthors Proietti, T. APACrefauthors \ (2008) 20080.6443267%
8whittle1963prediction APACrefauthors Whittle, P. APACrefauthors \ (1963) 19630.6443267%
9bai2002determining APACrefauthors Bai, J. \ Ng, S. APACrefauthors \ (2002) 20020.64422100%
10christiano2003band APACrefauthors Christiano, L J. \ Fitzgerald, T J… (2003) 20030.64422100%

Showing the top 10 of 39 scored citations.