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Random quantiles of the Dirichlet process

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  • Lichtendahl Jr., Kenneth C.

Abstract

We examine the finite-dimensional distributions of the random quantiles of a Dirichlet process and provide an exact decomposition of its bivariate version. While the Dirichlet distributions of probabilities are absolutely continuous, the corresponding distributions of quantiles are not.

Suggested Citation

  • Lichtendahl Jr., Kenneth C., 2009. "Random quantiles of the Dirichlet process," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 501-507, February.
  • Handle: RePEc:eee:stapro:v:79:y:2009:i:4:p:501-507
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    References listed on IDEAS

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    1. Dennis Lindley, 1983. "Reconciliation of Probability Distributions," Operations Research, INFORMS, vol. 31(5), pages 866-880, October.
    2. Jeremy E. Oakley & Anthony O'Hagan, 2007. "Uncertainty in prior elicitations: a nonparametric approach," Biometrika, Biometrika Trust, vol. 94(2), pages 427-441.
    3. Garthwaite, Paul H. & Kadane, Joseph B. & O'Hagan, Anthony, 2005. "Statistical Methods for Eliciting Probability Distributions," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 680-701, June.
    4. Jason R. W. Merrick, 2008. "Getting the Right Mix of Experts," Decision Analysis, INFORMS, vol. 5(1), pages 43-52, March.
    5. Peter A. Morris, 1974. "Decision Analysis Expert Use," Management Science, INFORMS, vol. 20(9), pages 1233-1241, May.
    6. Robert L. Winkler, 1981. "Combining Probability Distributions from Dependent Information Sources," Management Science, INFORMS, vol. 27(4), pages 479-488, April.
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