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Principal components analysis (PCA) is a classical method for the reduction of dimensionality of
data in the form of n observations (or cases) of a vector with p variables. Contemporary data sets
of...
Wavelets have motivated development of a host of new ideas in nonparametric
regression smoothing. Here we apply the tool of exact risk analysis, to understand the
small sample behavior of wavelet es...
Terrestrial support of zebra mussels and the Hudson River food web: A multi-isotope, Bayesian analysis
Terrestrial support of zebra mussels Hudson River food web A multi-isotope Bayesian analysis
2014/4/2
The Hudson River is a strongly heterotrophic system in which the invasive zebra mussel (Dreissena polymorpha) comprises >90% of total metazoan biomass. Using a Bayesian mixing model, with isotope rati...
Bayesian Analysis of Simple Random Densities
Bayesian nonparametrics Bayesian density estimation.
2012/11/23
A tractable nonparametric prior over densities is introduced which is closed under sampling and exhibits proper posterior asymptotics.
Default Bayesian Analysis for the Multivariate Ewens Distribution
Bayesian Analysis Multivariate Ewens Distribution
2012/11/22
We derive the Jeffreys prior for the parameter of the Multivariate Ewens Distribution and study some of its properties. In particular, we show that this prior is proper and has no finite moments. We a...