Artikel

Bias-correction in vector autoregressive models: A simulation study

We analyze the properties of various methods for bias-correcting parameter estimates in both stationary and non-stationary vector autoregressive models. First, we show that two analytical bias formulas from the existing literature are in fact identical. Next, based on a detailed simulation study, we show that when the model is stationary this simple bias formula compares very favorably to bootstrap bias-correction, both in terms of bias and mean squared error. In non-stationary models, the analytical bias formula performs noticeably worse than bootstrapping. Both methods yield a notable improvement over ordinary least squares. We pay special attention to the risk of pushing an otherwise stationary model into the non-stationary region of the parameter space when correcting for bias. Finally, we consider a recently proposed reduced-bias weighted least squares estimator, and we find that it compares very favorably in non-stationary models.

Language
Englisch

Bibliographic citation
Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 2 ; Year: 2014 ; Issue: 1 ; Pages: 45-71 ; Basel: MDPI

Classification
Wirtschaft
Estimation: General
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Subject
bias reduction
VAR model
analytical bias formula
bootstrap
iteration
Yule-Walker
non-stationary system
skewed and fat-tailed data

Event
Geistige Schöpfung
(who)
Engsted, Tom
Pedersen, Thomas Q.
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2014

DOI
doi:10.3390/econometrics2010045
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.

Object type

  • Artikel

Associated

  • Engsted, Tom
  • Pedersen, Thomas Q.
  • MDPI

Time of origin

  • 2014

Other Objects (12)