Exact bayesian inference for normal hierarchical models

2001 ◽  
Vol 68 (3) ◽  
pp. 223-241
Author(s):  
Philip J. Everson
Keyword(s):  
Bayesian Inference ◽  
Hierarchical Models ◽  
Exact Bayesian Inference

scholarly journals Analysis of Cell Lineage Trees by Exact Bayesian Inference Identifies Negative Autoregulation of Nanog in Mouse Embryonic Stem Cells

Cell Systems ◽  
2016 ◽  
Vol 3 (5) ◽  
pp. 480-490.e13 ◽  
Author(s):  
Justin Feigelman ◽  
Stefan Ganscha ◽  
Simon Hastreiter ◽  
Michael Schwarzfischer ◽  
Adam Filipczyk ◽  
...  
Keyword(s):  
Stem Cells ◽  
Bayesian Inference ◽  
Embryonic Stem Cells ◽  
Embryonic Stem ◽  
Cell Lineage ◽  
Mouse Embryonic Stem Cells ◽  
Negative Autoregulation ◽  
Lineage Trees ◽  
Exact Bayesian Inference

scholarly journals An introduction to Bayesian inference in gravitational-wave astronomy: Parameter estimation, model selection, and hierarchical models

2019 ◽  
Vol 36 ◽  
Author(s):  
Eric Thrane ◽  
Colm Talbot
Keyword(s):  
Bayesian Inference ◽  
Model Selection ◽  
Gravitational Wave ◽  
Gaussian Noise ◽  
Hierarchical Models ◽  
Selection Effects ◽  
Estimation Model ◽  
Monte Carlo Algorithms ◽  
Bayesian Evidence ◽  
Credible Intervals

AbstractThis is an introduction to Bayesian inference with a focus on hierarchical models and hyper-parameters. We write primarily for an audience of Bayesian novices, but we hope to provide useful insights for seasoned veterans as well. Examples are drawn from gravitational-wave astronomy, though we endeavour for the presentation to be understandable to a broader audience. We begin with a review of the fundamentals: likelihoods, priors, and posteriors. Next, we discuss Bayesian evidence, Bayes factors, odds ratios, and model selection. From there, we describe how posteriors are estimated using samplers such as Markov Chain Monte Carlo algorithms and nested sampling. Finally, we generalise the formalism to discuss hyper-parameters and hierarchical models. We include extensive appendices discussing the creation of credible intervals, Gaussian noise, explicit marginalisation, posterior predictive distributions, and selection effects.

scholarly journals Exact Bayesian inference for the Bingham distribution

2014 ◽  
Vol 26 (1-2) ◽  
pp. 349-360 ◽  
Author(s):  
Christopher J. Fallaize ◽  
Theodore Kypraios
Keyword(s):  
Bayesian Inference ◽  
Bingham Distribution ◽  
Exact Bayesian Inference

scholarly journals Exact Bayesian inference for phylogenetic birth-death models

2018 ◽  
Vol 34 (21) ◽  
pp. 3638-3645 ◽  
Author(s):  
Kris V Parag ◽  
Oliver G Pybus
Keyword(s):  
Bayesian Inference ◽  
Exact Bayesian Inference ◽  
Birth Death
Sign in / Sign up

Export Citation Format

Share Document