Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 4 of 4 for “"Posterior Consistency"”.
-
Nonparametric Bayesian Quantile Regression via Dirichlet Process Mixture Models
… locationparameter and the scale parameter. The posterior consistency of our proposed model isstudied carefully. And Markov chain Monte Carlo algorithms are provided for posteriorinference. The performance of our approaches is evaluated using simulated data and realdata. Moreover, we are able to …
-
The formal definition of reference priors under a general class of divergence
… for the reference prior can be obtained under posterior consistency. The explicit expression can be used to derive new reference priors both analytically and numerically.
-
Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
… with standard Gaussian priors, for which the posterior-based reconstruction corresponds to a Tikhonov regulariser with a reproducing kernel Hilbert space norm penalty. We prove a semiparametric Bernstein–von Mises theorem for a large collection of linear functionals of the unknown, implying …
-
Bayesian Nonparametric Modeling and Theory for Complex Data
… manifolds are supported while studying how the posterior concentrates as increasing amounts of data are collected.</p><p>With the advent of new acquisition devices, there has been a need to model complex objects associated with complex data-types e.g. millions of genes affecting a bio-marker, 2D …