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Testing for pure-jump processes for high-frequency data
Kong X.-B.; Liu Z.; Jing B.-Y.
2015
Source PublicationAnnals of Statistics
ABS Journal Level4*
ISSN905364
Volume43Issue:2Pages:847
AbstractPure-jump processes have been increasingly popular in modeling highfrequency financial data, partially due to their versatility and flexibility. In the meantime, several statistical tests have been proposed in the literature to check the validity of using pure-jump models. However, these tests suffer from several drawbacks, such as requiring rather stringent conditions and having slow rates of convergence. In this paper, we propose a different test to check whether the underlying process of high-frequency data can be modeled by a pure-jump process. The new test is based on the realized characteristic function, and enjoys a much faster convergence rate of order O(n1/2) (where n is the sample size) versus the usual o(n1/4) available for existing tests; it is applicable much more generally than previous tests; for example, it is robust to jumps of infinite variation and flexible modeling of the diffusion component. Simulation studies justify our findings and the test is also applied to some real high-frequency financial data. © 2015 Institute of Mathematical Statistics.
KeywordIntegrated volatility Itô semimartingale Pure-jump process Realized characteristic function
DOI10.1214/14-AOS1298
URLView the original
Language英语
The Source to ArticleScopus
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Cited Times [WOS]:27   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
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GB/T 7714
Kong X.-B.,Liu Z.,Jing B.-Y.. Testing for pure-jump processes for high-frequency data[J]. Annals of Statistics,2015,43(2):847.
APA Kong X.-B.,Liu Z.,&Jing B.-Y..(2015).Testing for pure-jump processes for high-frequency data.Annals of Statistics,43(2),847.
MLA Kong X.-B.,et al."Testing for pure-jump processes for high-frequency data".Annals of Statistics 43.2(2015):847.
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