Scientific journal paper Q1
A note on the Gumbel convergence for the Lee and Mykland jump tests
João Nunes (Nunes, J.); João Ruas (Ruas, J.);
Journal Title
Finance Research Letters
Year (definitive publication)
2024
Language
English
Country
United States of America
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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.
Acknowledgements
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Keywords
Extreme-value theory,Gumbel law,Folded normal distribution,Jump detection
  • Economics and Business - Social Sciences
Funding Records
Funding Reference Funding Entity
UIDB/00315/2020 Fundação para a Ciência e a Tecnologia