Please use this identifier to cite or link to this item: http://hdl.handle.net/10071/31168
Author(s): Nunes, J.
Ruas, J.
Date: 2024
Title: A note on the Gumbel convergence for the Lee and Mykland jump tests
Journal title: Finance Research Letters
Volume: 59
Reference: Nunes, J., Ruas, J. (2024). A note on the Gumbel convergence for the Lee and Mykland jump tests. Finance Research Letters, 59, 104814. https://dx.doi.org/10.1016/j.frl.2023.104814
ISSN: 1544-6123
DOI (Digital Object Identifier): 10.1016/j.frl.2023.104814
Keywords: Extreme-value theory
Gumbel law
Folded normal distribution
Jump detection
Abstract: The Lee and Mykland (2008, 2012) nonparametric jump tests have been widely used in the literature but its critical region is stated with reference to the asymptotic distribution of the maximum of a set of standard normal variates. However, such reference would imply a typo (of a non-negligible order) for the norming constants adopted. By using the asymptotic distribution of the maximum of a set of folded normal random variables instead, this paper shows that there is no typo at all, thus preserving the validity of all the empirical findings based on these tests.
Peerreviewed: yes
Access type: Open Access
Appears in Collections:BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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