Estimating Jump Activity Using Multipower Variation

Realized multipower variation, originally introduced to eliminate jumps, can be extremely useful for inference in pure-jump models. This article shows how to build a simple and precise estimator of the jump activity index of a semimartingale observed at a high frequency by comparing different multipowers. The novel methodology allows to infer whether a discretely observed process contains a continuous martingale component. The empirical part of the article undertakes a nonparametric analysis of the jump activity of bitcoin and shows that bitcoin is a pure jump process with high jump activity, which is critically different from conventional currencies that include a Brownian motion component.

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PID https://www.doi.org/10.2139/ssrn.3200040
PID https://www.doi.org/10.1080/07350015.2020.1784745
PID https://www.doi.org/10.6084/m9.figshare.12849737.v1
PID https://www.doi.org/10.6084/m9.figshare.12849737
URL https://amstat.tandfonline.com/doi/full/10.1080/07350015.2020.1784745
URL https://academic.microsoft.com/#/detail/3036998411
URL http://dx.doi.org/10.1080/07350015.2020.1784745
URL http://dx.doi.org/10.6084/m9.figshare.12849737.v1
URL https://www.tandfonline.com/doi/pdf/10.1080/07350015.2020.1784745
URL https://www.tandfonline.com/doi/full/10.1080/07350015.2020.1784745
URL http://dx.doi.org/10.2139/ssrn.3200040
URL http://dx.doi.org/10.6084/m9.figshare.12849737
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Author Kolokolov, Aleksey
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Collected From Datacite; figshare; Crossref; Microsoft Academic Graph
Hosted By Journal of Business and Economic Statistics; figshare; SSRN Electronic Journal
Journal SSRN Electronic Journal, null, null
Publication Date 2020-01-01
Publisher Elsevier BV
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Language Undetermined
Resource Type Other literature type; Article
keyword keywords.Statistics, Probability and Uncertainty
keyword FOS: Biological sciences
keyword FOS: Earth and related environmental sciences
keyword FOS: Clinical medicine
system:type publication
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Source https://science-innovation-policy.openaire.eu/search/publication?articleId=dedup_wf_001::52eecd5efa753debea31fd270079f6d8
Author jsonws_user
Last Updated 22 December 2020, 22:50 (CET)
Created 22 December 2020, 22:50 (CET)