On uniform confidence intervals for the tail index and the extreme quantile

A-Tier
Journal: Journal of Econometrics
Year: 2024
Volume: 244
Issue: 1

Authors (2)

Sasaki, Yuya (Vanderbilt University) Wang, Yulong (not in RePEc)

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

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

Abstract

This paper presents two results concerning uniform confidence intervals for the tail index and the extreme quantile. First, we show that there exists a lower bound of the length for confidence intervals that satisfy the correct uniform coverage over a nonparametric family of tail distributions. Second, in light of the impossibility result, we construct honest confidence intervals that are uniformly valid by incorporating the worst-case bias in the nonparametric family. The proposed method is applied to simulated data and real data of financial time series.

Technical Details

RePEc Handle
repec:eee:econom:v:244:y:2024:i:1:s0304407624002100
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-29