Discrepancy Between Global and Local Principal Component Analysis on Large-Panel High-Frequency Data
大规模面板高频数据中全局与局部主成分分析的差异
In this article, we study the discrepancy between the global principal component analysis (GPCA) and local principal component analysis (LPCA) in recovering the common components of a large-panel high-frequency data. We measure the discrepancy by the total sum of squared differences between common components reconstructed from GPCA and LPCA. The asymptotic distribution of the discrepancy measure is provided when the factor space is time invariant as the dimension p and…