Principal Component Analysis for a Mix of Stationary and Nonstationary Variables

πŸ“… 2026-08-24
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πŸ“ Abstract
This paper develops a procedure for uncovering the common cyclical factors that drive a mix of stationary and nonstationary variables. The method does not require knowing which variables are nonstationary or the nature of the nonstationarity. An application to the FRED-MD macroeconomic dataset demonstrates that the approach offers similar benefits to those of traditional principal component analysis with some added advantages.
Problem

Research questions and friction points this paper is trying to address.

Principal Component Analysis
Stationary Variables
Nonstationary Variables
Cyclical Factors
Innovation

Methods, ideas, or system contributions that make the work stand out.

Principal Component Analysis
Stationary and Nonstationary Variables
Common Cyclical Factors
FRED-MD