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Apr 4 at 6:55 comment added user108 A special case of this is considered in the nonparametric Bayes literature. They consider a particular probability distribution (Dirichlet prior) on the set of probability distributions and draw samples from a distribution drawn from it. For example, the book S. Ghosal and A. van der Vaart (2017) "Fundamentals of Nonparametric Bayesian Inference" p. 62 calls it the "sample from the Dirichlet process."
S Apr 3 at 23:21 history suggested J. W. Tanner
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S Apr 3 at 23:21
Apr 3 at 5:58 comment added Plop Not an answer, but in statistics, the process of bootstrapping is as such: you take random variables, and redraw random variables in the outcomes of the first ones.
Apr 3 at 5:45 history asked pseudocydonia CC BY-SA 4.0