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A rank test for the number of factors with high-frequency data
Kong,Xin Bing; Liu,Zhi; Zhou,Wang
2019-10-01
Source PublicationJournal of Econometrics
ABS Journal Level4
ISSN0304-4076
Volume211Issue:2Pages:439-460
Abstract

In the literature, consistency of the estimates of the number of factors for large-dimensional factor models had been extensively studied recently. But the second-order property of the estimator has long been unsolved due to lack of limiting distribution of the estimators. In this paper, we propose a rank test of the number of factors using large panel high-frequency data contaminated with microstructure noise. The rank test is realized by forming a fixed number of portfolios which reduce the dimension to a finite number. In the process of constructing portfolios, the number of factors is equal to the rank of the volatility matrix of the diversified portfolios asymptotically. Via estimating the volatility rank of a low-dimensional price dynamics of the portfolios, we establish a central limit theorem of the estimated factor number. We then apply the asymptotic normality to testing on the number of factors. Numerical experiments including the Monte-Carlo simulations and real data analysis justify our theory.

KeywordContinuous-time Factor Model High-dimensional Itô Process Idiosyncratic Process
DOI10.1016/j.jeconom.2019.03.004
URLView the original
Language英語English
WOS IDWOS:000472702200006
Scopus ID2-s2.0-85064266843
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLiu,Zhi
AffiliationNanjing Audit University, China; University of Macau, China; National University of Singapore, Singapore
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Kong,Xin Bing,Liu,Zhi,Zhou,Wang. A rank test for the number of factors with high-frequency data[J]. Journal of Econometrics, 2019, 211(2), 439-460.
APA Kong,Xin Bing., Liu,Zhi., & Zhou,Wang (2019). A rank test for the number of factors with high-frequency data. Journal of Econometrics, 211(2), 439-460.
MLA Kong,Xin Bing,et al."A rank test for the number of factors with high-frequency data".Journal of Econometrics 211.2(2019):439-460.
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