Assessing influence in Gaussian long-memory models

  • Authors:
  • Wilfredo Palma;Pascal Bondon;José Tapia

  • Affiliations:
  • Pontificia Universidad Católica de Chile, Chile;CNRS UMR 8506, Université Paris XI, France;Universidad Adolfo Ibáñez, Chile

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2008

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Abstract

A statistical methodology for detecting influential observations in long-memory models is proposed. The identification of these influential points is carried out by case-deletion techniques. In particular, a Kullback-Leibler divergence is considered to measure the effect of a subset of observations on predictors and smoothers. These techniques are illustrated with an analysis of the River Nile data where the proposed methods are compared to other well-known approaches such as the Cook and the Mahalanobis distances.