Modeling Expert Opinion Arising as a Partial Probabilistic Specification
作者:
AlanE. Gelfand,
BaniK. Mallick,
DipakK. Dey,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 430
页码: 598-604
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476552
出版商: Taylor & Francis Group
关键词: Gibbs sampling;Mixture of Beta distributions;Supra Bayesian approach
数据来源: Taylor
摘要:
Expert opinion is often sought with regard to unknowns in a decision-making setting. For a univariate unknown, θ, our presumption is that such opinion is elicited as a partial probabilistic specification in the form of either probability assignments regarding the chance of θ falling in a fixed set of disjoint exhaustive intervals or selected quantiles for θ. Treating such specification as “data,” our focus is on the development of suitable probability densities for these data given the true θ. In particular, we advocate a rich class of densities created by transformation of random mixtures of beta distributions. These densities become likelihoods when viewed as a function of θ given the data. We presume that a decision-maker (here a so-called supra Bayesian) presides over the opinion collection, offering his or her assessment as well. All of this opinion is synthesized using Bayes's theorem, resulting in the posterior distribution as the pooling mechanism. The models are applied to opinion collected regarding points per game for participants in the 1991 National Basketball Association championship basketball series.
点击下载:
PDF (812KB)
返 回