Residential College | false |
Status | 已發表Published |
A rank test for the number of factors with high-frequency data | |
Kong,Xin Bing; Liu,Zhi; Zhou,Wang | |
2019-10-01 | |
Source Publication | Journal of Econometrics |
ABS Journal Level | 4 |
ISSN | 0304-4076 |
Volume | 211Issue: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. |
Keyword | Continuous-time Factor Model High-dimensional Itô Process Idiosyncratic Process |
DOI | 10.1016/j.jeconom.2019.03.004 |
URL | View the original |
Language | 英語English |
WOS ID | WOS:000472702200006 |
Scopus ID | 2-s2.0-85064266843 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Liu,Zhi |
Affiliation | Nanjing Audit University, China; University of Macau, China; National University of Singapore, Singapore |
First Author Affilication | University of Macau |
Corresponding Author Affilication | University 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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