Robustness of one-sided cross-validation to autocorrelation

  • Authors:
  • Jeffrey D. Hart;Cherng-Luen Lee

  • Affiliations:
  • Department of Statistics, Texas A&M University, College Station, TX;Biostatistics Department, PPD Development, Austin, TX

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2005

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Abstract

The effects of moderate levels of serial correlation on one-sided and ordinary cross-validation in the context of local linear and kernel smoothing is investigated. It is shown both theoretically and by simulation that one-sided cross-validation is much less adversely affected by correlation than is ordinary cross-validation. The former method is a reliable means of window width selection in the presence of moderate levels of serial correlation, while the latter is not. It is also shown that ordinary cross-validation is less robust to correlation when applied to Gasser-Müller kernel estimators than to local linear ones.