Bayesian nonparametric inference of stochastically ordered distributions, with Pólya trees and Bernstein polynomials
We introduce approaches to performing Bayesian nonparametric statistical inference for distribution functions exhibiting a stochastic ordering. We consider Pólya tree prior distributions, and Bernstein polynomial prior distributions, and each prior provides an appealing and simple way of introducing the stochastic order.
Year of publication: |
2007
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---|---|
Authors: | Karabatsos, George ; Walker, Stephen G. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 9, p. 907-913
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Publisher: |
Elsevier |
Keywords: | Stochastic order Bayesian nonparametrics Polya tree prior Bernstein polynomial prior |
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