Wiley StatsRef: Statistics Reference

Risultato della ricerca: Contributo in libroChapter

Abstract

In this article, we discuss set estimation in a Bayesian framework. In particular, we give a formal definition for a credible set in the general multivariate parameter setting and detail the unidimensional case when the set estimator is restricted to be an interval. Moreover, we comment upon differences and similarities between interval estimates via Bayesian and non-Bayesian methods. It is customary to ask that the credible set satisfies a minimum size optimality criterion, leading to the definition of highest posterior density regions. We mention some theoretical and computational issues of these optimal regions.
Lingua originaleEnglish
Titolo della pubblicazione ospiteWiley StatsRef: Statistics Reference
Pagine1-7
Numero di pagine7
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • Keywords: credible region, Bayesian confidence interval, highest posterior density region, Bayesian coverage, confidence interval, frequentist coverage

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