The GLS Transformation Matrix and a Semi-recursive Estimator for the Linear Regression Model with ARMA Errors

B-Tier
Journal: Econometric Theory
Year: 1992
Volume: 8
Issue: 1
Pages: 95-111

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

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

Abstract

For a general stationary ARMA(p,q) process u we derive the exact form of the orthogonalizing matrix R such that R′R = Σ−1, where Σ = E(uu′) is the covariance matrix of u, generalizing the known formulae for AR(p) processes. In a linear regression model with an ARMA(p,q) error process, transforming the data by R yields a regression model with white-noise errors. We also consider an application to semi-recursive (being recursive for the model parameters, but not for the parameters of the error process) estimation.

Technical Details

RePEc Handle
repec:cup:etheor:v:8:y:1992:i:01:p:95-111_01
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-25