Nonparametric Bayesian predictive distributions for future order statistics

We derive the predictive distribution for a specified order statistic, determined from a future random sample, under a Dirichlet process prior. Two variants of the approach are treated and some limiting cases studied. A practical application to monitoring the strength of lumber is discussed, including choices of prior expectation, and comparisons made to a Bayesian parametric approach.

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Year of publication:	1999
Authors:	Johnson, Richard A. ; Evans, James W. ; Green, David W.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 41.1999, 3, p. 247-254
Publisher:	Elsevier
Keywords:	Dirichlet process Predictive distributions Monitoring quality

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223117