Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
Bias-correction in vector autoregressive models : A simulation study. / Engsted, Tom; Pedersen, Thomas Quistgaard.
I: Econometrics, Bind 2, Nr. 1, 2014, s. 45-71.Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
}
TY - JOUR
T1 - Bias-correction in vector autoregressive models
T2 - A simulation study
AU - Engsted, Tom
AU - Pedersen, Thomas Quistgaard
PY - 2014
Y1 - 2014
N2 - We analyze the properties of various methods for bias-correcting parameterestimates 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 noticeablyworse 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 thatit compares very favorably in non-stationary models.
AB - We analyze the properties of various methods for bias-correcting parameterestimates 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 noticeablyworse 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 thatit compares very favorably in non-stationary models.
KW - Bias reduction
KW - VAR model
KW - Analytical bias formula
KW - Bootstrap
KW - Iteration
KW - Yule-Walker
KW - Non-stationary system
KW - Skewed and fat-tailed data
U2 - 10.3390/econometrics2010045
DO - 10.3390/econometrics2010045
M3 - Journal article
VL - 2
SP - 45
EP - 71
JO - Econometrics
JF - Econometrics
SN - 2225-1146
IS - 1
ER -