Hypothesis tests for linear functional relationships

N. J.D. Nagelkerke

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The analysis of linear functional relationships is considered. Expressions useful for the estimation of both unconstrained and constrained parameters are presented. The testing of hypotheses which consist of linear constraints on the parameters is discussed. Wald type and Wilks type test statistics and their asymptotic null distributions are derived. It appears that these test statistics are not asymptotically equivalent.

Original languageEnglish
Pages (from-to)2807-2816
Number of pages10
JournalCommunications in Statistics - Theory and Methods
Issue number22
Publication statusPublished - Jan 1 1984
Externally publishedYes


  • asymptotic tests
  • linear constraints
  • maximum likelihood
  • parameter estimation

ASJC Scopus subject areas

  • Statistics and Probability


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