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Social and Behavioral Sciences Commons™
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Full-Text Articles in Social and Behavioral Sciences
Hierarchical Bayesian Modeling Of The Movement Of Ice Streams, L M. Berliner, Noel A. Cressie, Kenneth Jezek, Yongku Kim, Calvin Lam
Hierarchical Bayesian Modeling Of The Movement Of Ice Streams, L M. Berliner, Noel A. Cressie, Kenneth Jezek, Yongku Kim, Calvin Lam
Faculty of Engineering and Information Sciences - Papers: Part A
Modern studies of the behaviors of glaciers, ice-sheets, and ice-streams rely heavily on both observations and physically based models. Data acquired via remote-sensing provide critical information on geometry and movement of ice over large sections of the Antarctic and Greenland. Though these datasets represent significant advances in terms of spatial coverage and the range of processes we can observe, the physical systems to be modeled are nevertheless incompletely observed. Uncertainties associated with measurement errors are also present. In addition, physical models are also subject to uncertainties. Hence, there is a need for combining observations and models in a fashion that …
Bayesian Analysis For Penalized Spline Regression Using Winbugs, Ciprian Crainiceanu, David Ruppert, M. P. Wand
Bayesian Analysis For Penalized Spline Regression Using Winbugs, Ciprian Crainiceanu, David Ruppert, M. P. Wand
Faculty of Engineering and Information Sciences - Papers: Part A
Penalized splines can be viewed as BLUPs in a mixed model framework, which allows the use of mixed model software for smoothing. Thus, software originally developed for Bayesian analysis of mixed models can be used for penalized spline regression. Bayesian inference for nonparametric models enjoys the flexibility of nonparametric models and the exact inference provided by the Bayesian inferential machinery. This paper provides a simple, yet comprehensive, set of programs for the implementation of nonparametric Bayesian analysis in WinBUGS. Good mixing properties of the MCMC chains are obtained by using low-rank thin-plate splines, while simulation times per iteration are reduced …