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- Hyperprior abstract "In Bayesian statistics, a hyperprior is a prior distribution on a hyperparameter, that is, on a parameter of a prior distribution.As with the term hyperparameter, the use of hyper is to distinguish it from a prior distribution of a parameter of the model for the underlying system. They arise particularly in the use of conjugate priors.For example, if one is using a beta distribution to model the distribution of the parameter p of a Bernoulli distribution, then: The Bernoulli distribution (with parameter p) is the model of the underlying system; p is a parameter of the underlying system (Bernoulli distribution); The beta distribution (with parameters α and β) is the prior distribution of p; α and β are parameters of the prior distribution (beta distribution), hence hyperparameters; A prior distribution of α and β is thus a hyperprior.In principle, one can iterate the above: if the hyperprior itself has hyperparameters, these may be called hyperhyperparameters, and so forth.One can analogously call the posterior distribution on the hyperparameter the hyperposterior, and, if these are in the same family, call them conjugate hyperdistributions or a conjugate hyperprior. However, this rapidly becomes very abstract and removed from the original problem.".
- Hyperprior wikiPageID "21761858".
- Hyperprior wikiPageLength "4387".
- Hyperprior wikiPageOutDegree "14".
- Hyperprior wikiPageRevisionID "472390350".
- Hyperprior wikiPageWikiLink Bayesian_statistics.
- Hyperprior wikiPageWikiLink Bernoulli_distribution.
- Hyperprior wikiPageWikiLink Beta_distribution.
- Hyperprior wikiPageWikiLink Category:Bayesian_statistics.
- Hyperprior wikiPageWikiLink Category:Statistical_terminology.
- Hyperprior wikiPageWikiLink Conjugate_prior.
- Hyperprior wikiPageWikiLink Convex_combination.
- Hyperprior wikiPageWikiLink Convex_set.
- Hyperprior wikiPageWikiLink Dynamical_system.
- Hyperprior wikiPageWikiLink Hyperparameter.
- Hyperprior wikiPageWikiLink Mixture_distribution.
- Hyperprior wikiPageWikiLink Prior_probability.
- Hyperprior wikiPageWikiLinkText "Hyperprior".
- Hyperprior wikiPageWikiLinkText "hyperprior".
- Hyperprior wikiPageUsesTemplate Template:Bayesian_statistics.
- Hyperprior subject Category:Bayesian_statistics.
- Hyperprior subject Category:Statistical_terminology.
- Hyperprior hypernym Distribution.
- Hyperprior type Software.
- Hyperprior comment "In Bayesian statistics, a hyperprior is a prior distribution on a hyperparameter, that is, on a parameter of a prior distribution.As with the term hyperparameter, the use of hyper is to distinguish it from a prior distribution of a parameter of the model for the underlying system.".
- Hyperprior label "Hyperprior".
- Hyperprior sameAs Q5958522.
- Hyperprior sameAs m.05my9c9.
- Hyperprior sameAs Q5958522.
- Hyperprior wasDerivedFrom Hyperprior?oldid=472390350.
- Hyperprior isPrimaryTopicOf Hyperprior.