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5 papers · 1 filter
Bayesian computation: a perspective on the current state, and sampling backwards and forwards
Peter J. Green, Krzysztof Łatuszyński, Marcelo Pereyra +1
The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in compe…
Computation of Gaussian orthant probabilities in high dimension
James Ridgway
We study the computation of Gaussian orthant probabilities, i.e. the probability that a Gaussian falls inside a quadrant. The Geweke-Hajivassiliou-Keane (GHK) algorithm [Genz, 1992…
Exact Bayesian Analysis of Mixtures
Christian P. Robert, Kerrie L. Mengersen
In this paper, we show how a complete and exact Bayesian analysis of a parametric mixture model is possible in some cases when components of the mixture are taken from exponential…
On computational tools for Bayesian data analysis
Christian P. Robert, Jean-Michel Marin
While Robert and Rousseau (2010) addressed the foundational aspects of Bayesian analysis, the current chapter details its practical aspects through a review of the computational me…
Adaptive Importance Sampling in General Mixture Classes
Olivier Cappé, Randal Douc, Arnaud Guillin +2
In this paper, we propose an adaptive algorithm that iteratively updates both the weights and component parameters of a mixture importance sampling density so as to optimise the im…