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Asymptotic Theory of Principal Component Analysis for Time Series Data with Cautionary Comments

Asymptotic Theory of Principal Component Analysis for Time Series Data with Cautionary Comments

Abstract Principal component analysis (PCA) is a most frequently used statistical tool in almost all branches of data science. However, like many other statistical tools, there is sometimes the risk of misuse or even abuse. In this paper, we highlight possible pitfalls in using the theoretical results of PCA based …