Title
A channel-based perspective on conjugate priors
Abstract
A desired closure property in Bayesian probability is that an updated posterior distribution be in the same class of distributions - say Gaussians - as the prior distribution. When the updating takes place via a statistical model, one calls the class of prior distributions the 'conjugate priors' of the model. This paper gives (1) an abstract formulation of this notion of conjugate prior, using channels, in a graphical language, (2) a simple abstract proof that such conjugate priors yield Bayesian inversions and (3) an extension to multiple updates. The theory is illustrated with several standard examples.
Year
DOI
Venue
2017
10.1017/S0960129519000082
MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE
Field
DocType
Volume
Graphical language,Closure (mathematics),Algorithm,Communication channel,Posterior probability,Statistical model,Prior probability,Conjugate prior,Mathematics,Bayesian probability
Journal
30
Issue
ISSN
Citations 
1
0960-1295
0
PageRank 
References 
Authors
0.34
6
1
Name
Order
Citations
PageRank
B. Jacobs11046100.09