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Statistics
A Journal of Theoretical and Applied Statistics
Volume 45, 2011 - Issue 4
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Original Articles

Probability matching priors for two-sided tolerance intervals in balanced one-way and two-way nested random effects models

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Pages 403-411 | Received 26 Jun 2009, Accepted 04 Mar 2010, Published online: 04 May 2010

References

  • Datta , G. S. and Mukerjee , R. 2004 . Probability Matching Priors: Higher Order Asymptotics , Berlin : Springer .
  • Sweeting , T. J. 2005 . On the implementation of local probability matching priors for interest parameters . Biometrika , 92 : 47 – 57 .
  • Guttman , I. 1970 . Statistical Tolerance Regions: Classical and Bayesian , London : Charles Griffin .
  • Hahn , G. J. and Meeker , W. Q. 1991 . Statistical Intervals: A Guide for Practitioners , New York : Wiley .
  • Wolfinger , R. D. 1998 . Tolerance intervals for variance component models using Bayesian simulation . J. Quality Technol. , 30 : 18 – 32 .
  • Van der Merwe , A. J. and Hugo , J. 2007 . Bayesian tolerance intervals for the balanced two-factor nested random effects model . Test , 16 : 598 – 612 .
  • Mukerjee , R. and Reid , N. 2001 . Second order probability matching priors for a parametric function with application to Bayesian tolerance limits . Biometrika , 88 : 587 – 592 .

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