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This paper is a note on the use of Bayesian nonparametric mixture models for continuous time series. We identify a key requirement for such models, and then establish that there is a single type of mo...
A key problem in statistical modeling is model selection, how to choose a model at an appropriate level of complexity.
Density Estimation and Classification via Bayesian Nonparametric Learning of Affine Subspaces
Dimension reduction Classi er Variable selection Nonparametric Bayes
2011/6/20
It is now practically the norm for data to be very high dimensional in areas such as genetics, machine
vision, image analysis and many others. When analyzing such data, parametric models are often to...
Bayesian nonparametric estimation and consistency of mixed multinomial logit choice models
Bayesian consistency blocked Gibbs sampler discrete choice models mixed multinomial logit random probability measures stick-breaking priors
2011/3/24
This paper develops nonparametric estimation for discrete choice models based on the mixed multinomial logit (MMNL) model. It has been shown that MMNL models encompass all discrete choice models deriv...
On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors
Bayesian nonparametric estimators species richness two-parameter Poisson-Dirichlet priors
2010/3/11
We present an alternative approach to the Bayesian nonparametric analysis of conditional
species richness under two-parameter Poisson Dirichlet priors. We rely on a known characteri-
zation by delet...
Bayesian nonparametric analysis for a species sampling model with finitely many types
Bayesian nonparametric analysis species sampling model finitely many types
2010/3/9
We derive explicit Bayesian nonparametric analysis for a species sampling model with
finitely many types of Gibbs form of type = −1 recently introduced in Gnedin (2009).
Our results compleme...
Bayesian nonparametric estimation of the radiocarbon calibration curve
Gaussian process archaeology chronology building cross-validation
2009/9/21
The process of calibrating radiocarbon determinations onto the cal-
endar scale involves, as a rst stage, the estimation of the relationship between
calendar and radiocarbon ages (the radiocarbon ca...