STATIONARITY AND MEMORY OF ARCH(∞) MODELS

B-Tier
Journal: Econometric Theory
Year: 2004
Volume: 20
Issue: 1
Pages: 147-160

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

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

Abstract

We establish the necessary and sufficient conditions for covariance stationarity of ARCH(∞), for both the levels and the squares. The result applies to any form of the conditional variance coefficients. This includes GARCH(p,q) and also specifications with hyperbolically decaying coefficients, such as the autoregressive coefficients of the autoregressive fractionally integrated moving average model. The covariance stationarity condition for the levels rules out long memory in the squares.I thank Peter M. Robinson for useful comments on previous versions of the paper. Also, I am grateful to the co-editor (Bruce E. Hansen) and an anonymous referee whose suggestions greatly improved the paper.

Technical Details

RePEc Handle
repec:cup:etheor:v:20:y:2004:i:01:p:147-160_20
Journal Field
Econometrics
Author Count
1
Added to Database
2026-01-29