Munich Personal RePEc Archive

Asymptotic properties of weighted least squares estimation in weak parma models

Francq, Christian and Roy, Roch and Saidi, Abdessamad (2011): Asymptotic properties of weighted least squares estimation in weak parma models.

[img]
Preview
PDF
MPRA_paper_28721.pdf

Download (340Kb) | Preview

Abstract

The aim of this work is to investigate the asymptotic properties of weighted least squares (WLS) estimation for causal and invertible periodic autoregressive moving average (PARMA) models with uncorrelated but dependent errors. Under mild assumptions, it is shown that the WLS estimators of PARMA models are strongly consistent and asymptotically normal. It extends Theorem 3.1 of Basawa and Lund (2001) on least squares estimation of PARMA models with independent errors. It is seen that the asymptotic covariance matrix of the WLS estimators obtained under dependent errors is generally different from that obtained with independent errors. The impact can be dramatic on the standard inference methods based on independent errors when the latter are dependent. Examples and simulation results illustrate the practical relevance of our findings. An application to financial data is also presented.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.