A Conditional-Heteroskedasticity-Robust Confidence Interval for the Autoregressive Parameter

A-Tier
Journal: Review of Economics and Statistics
Year: 2014
Volume: 96
Issue: 2
Pages: 376-381

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 introduces a new confidence interval (CI) for the autoregressive parameter (AR) in an AR(1) model that allows for conditional heteroskedasticity of a general form and AR parameters that are less than or equal to unity. The CI is a modification of Mikusheva's (2007a) modification of Stock's (1991) CI that employs the least squares estimator and a heteroskedasticity-robust variance estimator. The CI is shown to have correct asymptotic size and to be asymptotically similar (in a uniform sense). It does not require any tuning parameters. No existing procedures have these properties. Monte Carlo simulations show that the CI performs well in finite samples in terms of coverage probability and average length, for innovations with and without conditional heteroskedasticity. © 2014 The President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Technical Details

RePEc Handle
repec:tpr:restat:v:96:y:2014:i:2:p:376-381
Journal Field
General
Author Count
2
Added to Database
2026-01-24