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"Nonparametric Hypothesis Testing with Parametric Rates of Convergence", International Economic Review, 32, 1991.
In this respect, the Imprecise Dirichlet Process has been used for nonparametric hypothesis testing, see the Imprecise Dirichlet Process statistical package.
The Dirichlet Process can also be used for nonparametric hypothesis testing, i.e. to develop Bayesian nonparametric versions of the classical nonparametric hypothesis tests, e.g. sign test, Wilcoxon rank sum test, Wilcoxon signed-rank test, etc.
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