Individual skill
timeseries-detrending
Tools and techniques for detrending time series data in macroeconomic analysis. Use when working with economic time series that need to be decomposed into trend and cyclical components. Covers HP filter, log transformations for growth series, and correlation analysis of business cycles.
tasks/econ-detrending-correlation/environment/skills/timeseries-detrending/SKILL.md
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# Time Series Detrending for Macroeconomic Analysis
This skill provides guidance on decomposing economic time series into trend and cyclical components, a fundamental technique in business cycle analysis.
## Overview
Economic time series like GDP, consumption, and investment contain both long-term trends and short-term fluctuations (business cycles). Separating these components is essential for:
- Analyzing business cycle correlations
- Comparing volatility across variables
- Identifying leading/lagging indicators
## The Hodrick-Prescott (HP) Filter
The HP filter is the most widely used method for detrending macroeconomic data. It decomposes a time series into a trend component and a cyclical component.