Bootstrapping High-Frequency Jump Tests

B-Tier
Journal: Journal of the American Statistical Association
Year: 2019
Volume: 114
Issue: 526
Pages: 793-803

Authors (4)

Prosper Dovonon (not in RePEc) Sílvia Gonçalves (McGill University) Ulrich Hounyo (not in RePEc) Nour Meddahi (not in RePEc)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The main contribution of this article is to propose a bootstrap test for jumps based on functions of realized volatility and bipower variation. Bootstrap intraday returns are randomly generated from a mean zero Gaussian distribution with a variance given by a local measure of integrated volatility (which we denote by {v^in}$\lbrace \hat{v}_{i}^{n}\rbrace $). We first discuss a set of high-level conditions on {v^in}$\lbrace \hat{v}_{i}^{n}\rbrace $ such that any bootstrap test of this form has the correct asymptotic size and is alternative-consistent. We then provide a set of primitive conditions that justify the choice of a thresholding-based estimator for {v^in}$\lbrace \hat{v}_{i}^{n}\rbrace $. Our cumulant expansions show that the bootstrap is unable to mimic the higher-order bias of the test statistic. We propose a modification of the original bootstrap test which contains an appropriate bias correction term and for which second-order asymptotic refinements are obtained.

Technical Details

RePEc Handle
repec:taf:jnlasa:v:114:y:2019:i:526:p:793-803
Journal Field
Econometrics
Author Count
4
Added to Database
2026-01-25