ASYMPTOTIC THEORY ON THE LEAST SQUARES ESTIMATION OF THRESHOLD MOVING-AVERAGE MODELS

B-Tier
Journal: Econometric Theory
Year: 2013
Volume: 29
Issue: 3
Pages: 482-516

Authors (3)

Li, Dong (not in RePEc) Ling, Shiqing Li, Wai Keung (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

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

Abstract

This paper studies the asymptotic theory of least squares estimation in a threshold moving average model. Under some mild conditions, it is shown that the estimator of the threshold is n-consistent and its limiting distribution is related to a two-sided compound Poisson process, whereas the estimators of other coefficients are strongly consistent and asymptotically normal. This paper also provides a resampling method to tabulate the limiting distribution of the estimated threshold in practice, which is the first successful effort in this direction. This resampling method contributes to threshold literature. Simultaneously, simulation studies are carried out to assess the performance of least squares estimation in finite samples.

Technical Details

RePEc Handle
repec:cup:etheor:v:29:y:2013:i:03:p:482-516_00
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25