• Medientyp: E-Artikel
  • Titel: Checking for model failure and for prior-data conflict with the constrained multinomial model
  • Beteiligte: Englert, Berthold-Georg; Evans, Michael; Jang, Gun Ho; Ng, Hui Khoon; Nott, David; Seah, Yi-Lin
  • Erschienen: Springer Science and Business Media LLC, 2021
  • Erschienen in: Metrika
  • Sprache: Englisch
  • DOI: 10.1007/s00184-021-00811-8
  • ISSN: 0026-1335; 1435-926X
  • Schlagwörter: Statistics, Probability and Uncertainty ; Statistics and Probability
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  • Beschreibung: <jats:title>Abstract</jats:title><jats:p>Multinomial models can be difficult to use when constraints are placed on the probabilities. An exact model checking procedure for such models is developed based on a uniform prior on the full multinomial model. For inference, a nonuniform prior can be used and a consistency theorem is proved concerning a check for prior-data conflict with the chosen prior. Applications are presented and a new elicitation methodology is developed for multinomial models with ordered probabilities. </jats:p>