Information and posterior probability criteria for model selection in local likelihood estimation

Rafael A. Irizarry

Research output: Contribution to journalArticle

Abstract

Local likelihood estimation has proven to be an effective method for obtaining estimates of parameters that vary with a covariate. To obtain useful estimates of such parameters, approximating models are used. In such cases it is useful to consider window based estimates. We may need to choose between competing approximating models. In this article, we propose a modification to the methods used to motivate many information and posterior probability criteria for the weighted likelihood case. We derive weighted versions for two of the most widely known criteria, namely the AIC and BIC. Via a simple modification, the criteria are also made useful for window span selection. The usefulness of the weighted version of these criteria is demonstrated through a simulation study and an application to three datasets.

Original languageEnglish (US)
Pages (from-to)303-315
Number of pages13
JournalJournal of the American Statistical Association
Volume96
Issue number453
DOIs
StatePublished - Mar 1 2001

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Keywords

  • Information criteria
  • Local likelihood
  • Local regression
  • Model selection
  • Posterior probability criteria
  • Signal processing
  • Weighted kullback–leibler
  • Window size selection

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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