Adjustment of the profile likelihood for a class of normal regression models

Maria Durban, Iain D. Currie

Research output: Contribution to journalArticle

Abstract

We apply the method of McCullagh & Tibshirani (1990) to a generalization of the model for variance components in which the parameter of interest can appear in both the mean and variance. We obtain the exact adjusted profile log-likelihood score function. For the variance components model, we obtain the adjusted profile log-likelihood and show that it equals the restricted log-likelihood of Patterson & Thompson (1971). We discuss an example due to Kempton (1982) of a regression model with autoregressive terms in which the parameter of interest appears in both the mean and variance.

Original languageEnglish
Pages (from-to)535-540
Number of pages6
JournalScandinavian Journal of Statistics
Volume27
Issue number3
Publication statusPublished - Sep 2000

Keywords

  • Competition
  • Mixed model
  • Profile likelihood
  • REML
  • Score function
  • Variance components

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