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Correcting spot power variation estimator via Edgeworth expansion
He, Lidan1; Liu, Qiang2; Liu, Zhi3; Bucci, Andrea4
2024-11
Source PublicationMetrika
ISSN0026-1335
Volume87Issue:8Pages:921–945
Abstract

In this paper, we propose an estimator of power spot volatility of order p through Edgeworth expansion. We provide a precise description of how to compute the expansion and the first four cumulants are given in an explicit form. We also construct feasible confidence intervals (one-sided and two-sided) for the pth power spot volatility estimator by using Edgeworth expansion. A Monte Carlo simulation study shows that the confidence intervals and probability density curve based on Edgeworth expansion perform better than the conventional case based on Normal approximation.

KeywordConfidence Interval Edgeworth Expansion High-frequency Data Spot Volatility
DOI10.1007/s00184-023-00935-z
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:001125966300001
PublisherSPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
Scopus ID2-s2.0-85179938828
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorHe, Lidan
Affiliation1.School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China
2.School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China
3.Department of Mathematics, University of Macau, Macao, China
4.Department of Economics and Law, University of Macerata, Macerata, Italy
Recommended Citation
GB/T 7714
He, Lidan,Liu, Qiang,Liu, Zhi,et al. Correcting spot power variation estimator via Edgeworth expansion[J]. Metrika, 2024, 87(8), 921–945.
APA He, Lidan., Liu, Qiang., Liu, Zhi., & Bucci, Andrea (2024). Correcting spot power variation estimator via Edgeworth expansion. Metrika, 87(8), 921–945.
MLA He, Lidan,et al."Correcting spot power variation estimator via Edgeworth expansion".Metrika 87.8(2024):921–945.
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