• Medientyp: E-Artikel
  • Titel: Semiparametric Model-Based Inference in the Presence of Missing Responses
  • Beteiligte: Wang, Qihua; Dai, Pengjie
  • Erschienen: Biometrika Trust, University College London, 2008
  • Erschienen in: Biometrika
  • Sprache: Englisch
  • ISSN: 0006-3444
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  • Beschreibung: <p>We consider a semiparametric model that parameterizes the conditional density of the response, given covariates, but allows the marginal distribution of the covariates to be completely arbitrary. Responses may be missing. A likelihood-based imputation estimator and a semi-empirical-likelihood-based estimator for the parameter vector describing the conditional density are defined and proved to be asymptotically normal. Semi-empirical loglikelihood functions for the parameter vector and the response mean are derived. It is shown that the two semi-empirical loglikelihood functions are distributed asymptotically as weighted χ² and scaled χ², respectively.</p>