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Two tales about Bayesian nonparametric modeling
Published on Jan 24, 20126904 Views
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Chapter list
Two tales about Bayesian nonparametric modeling00:00
Outline00:09
The Bayesian nonparametric framework - 101:25
The Bayesian nonparametric framework - 203:10
Discrete nonparametric priors05:14
Probability of discovering a new species07:58
Complete predictive structure11:06
Gibbs–type random probability measures (Gnedin & Pitman ’06)11:46
Gibbs–type random probability measures 13:03
Full weak support property of Gibbs–type priors13:49
Frequentist Posterior Consistency15:15
The case of discrete “ true " data generating distribution P017:17
The case of a continuous “ true " data generating distribution P018:48
Examples20:23
Gnedin & Pitman (2006)21:43
Implications for Bayes Nonparametrics - 121:49
Implications for Bayes Nonparametrics - 223:44
Data structure in species sampling problems23:47
Prediction problems24:47
Frequentist nonparametric estimators25:38
BNP approach to discovery probability estimation - 127:24
BNP approach to discovery probability estimation - 227:51
The discovery probability in the Pitman–Yor case - 128:07
The discovery probability in the Pitman–Yor case - 228:27
Discovery probability in an additional sample of size m.28:59
Expected number of new genes in an additional sample of size m.30:05
Some remarks on BNP models30:13