Residential College | false |
Status | 已發表Published |
Edgeworth corrections for spot volatility estimator | |
He,Lidan1; Liu,Qiang2; Liu,Zhi1 | |
2020-09-01 | |
Source Publication | Statistics and Probability Letters |
ABS Journal Level | 2 |
ISSN | 0167-7152 |
Volume | 164 |
Abstract | We develop Edgeworth expansion theory for spot volatility estimator under general assumptions on the log-price process that allow for drift and leverage effect. The result is based on further estimation of skewness and kurtosis, when compared with existing second order asymptotic normality result. Thus our theory can provide with a refinement result for the finite sample distribution of spot volatility. We also construct feasible confidence intervals (one-sided and two-sided) for spot volatility by using Edgeworth expansion. The Monte Carlo simulation study we conduct shows that the intervals based on Edgeworth expansion perform better than the conventional intervals based on normal approximation, which justifies the correctness of our theoretical conclusion. |
Keyword | Central Limit Theorem Confidence Interval Edgeworth Expansion High Frequency Data Spot Volatility |
DOI | 10.1016/j.spl.2020.108809 |
URL | View the original |
Indexed By | SCIE ; SSCI |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000543294700013 |
Publisher | ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS |
Scopus ID | 2-s2.0-85084417016 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Liu,Qiang |
Affiliation | 1.Department of Mathematics,University of Macau,Macao 2.Department of Mathematics,National University of Singapore,Singapore |
First Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | He,Lidan,Liu,Qiang,Liu,Zhi. Edgeworth corrections for spot volatility estimator[J]. Statistics and Probability Letters, 2020, 164. |
APA | He,Lidan., Liu,Qiang., & Liu,Zhi (2020). Edgeworth corrections for spot volatility estimator. Statistics and Probability Letters, 164. |
MLA | He,Lidan,et al."Edgeworth corrections for spot volatility estimator".Statistics and Probability Letters 164(2020). |
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