Modeling Extreme Events: Time-Varying Extreme Tail Shape

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2024
Volume: 42
Issue: 3
Pages: 903-917

Authors (4)

Enzo D’Innocenzo (not in RePEc) André Lucas (Vrije Universiteit Amsterdam) Bernd Schwaab (European Central Bank) Xin Zhang (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 4 authors) × 2.0x A-tier

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

Abstract

We propose a dynamic semiparametric framework to study time variation in tail parameters. The framework builds on the Generalized Pareto Distribution (GPD) for modeling peaks over thresholds as in Extreme Value Theory, but casts the model in a conditional framework to allow for time-variation in the tail parameters. We establish parameter regions for stationarity and ergodicity and for the existence of (unconditional) moments and consider conditions for consistency and asymptotic normality of the maximum likelihood estimator for the deterministic parameters in the model. Two empirical datasets illustrate the usefulness of the approach: daily U.S. equity returns, and 15-min euro area sovereign bond yield changes.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:42:y:2024:i:3:p:903-917
Journal Field
Econometrics
Author Count
4
Added to Database
2026-01-25