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• Prior_probability abstract "In Bayesian statistical inference, a prior probability distribution, often simply called the prior, of an uncertain quantity is the probability distribution that would express one's beliefs about this quantity before some evidence is taken into account. For example, the prior could be the probability distribution representing the relative proportions of voters who will vote for a particular politician in a future election. The unknown quantity may be a parameter of the model or a latent variable rather than an observable variable.Bayes' theorem calculates the renormalized pointwise product of the prior and the likelihood function, to produce the posterior probability distribution, which is the conditional distribution of the uncertain quantity given the data.A prior can be the purely subjective assessment of an experienced expert. It can also be chosen according to some principle, such as the Jeffreys prior or Bernardo's reference prior. When a family of conjugate priors exists, choosing a prior from that family simplifies calculation of the posterior distribution.Parameters of prior distributions are a kind of hyperparameter. For example, if one uses a beta distribution to model the distribution of the parameter p of a Bernoulli distribution, then: p is a parameter of the underlying system (Bernoulli distribution), and α and β are parameters of the prior distribution (beta distribution); hence hyperparameters.".
• Prior_probability wikiPageExternalLink prob.html.
• Prior_probability wikiPageExternalLink prior.pdf.
• Prior_probability wikiPageExternalLink deFinetti.pdf.
• Prior_probability wikiPageID "472877".
• Prior_probability wikiPageLength "19424".
• Prior_probability wikiPageOutDegree "68".
• Prior_probability wikiPageRevisionID "683301542".
• Prior_probability wikiPageWikiLink A_priori_probability.
• Prior_probability wikiPageWikiLink Admissible_decision_rule.
• Prior_probability wikiPageWikiLink Affine_group.
• Prior_probability wikiPageWikiLink Algorithmic_probability.
• Prior_probability wikiPageWikiLink Andrew_Gelman.
• Prior_probability wikiPageWikiLink Annals_of_Statistics.
• Prior_probability wikiPageWikiLink Bayes_theorem.
• Prior_probability wikiPageWikiLink Bayesian_network.
• Prior_probability wikiPageWikiLink Bayesian_probability.
• Prior_probability wikiPageWikiLink Bernoulli_distribution.
• Prior_probability wikiPageWikiLink Beta_distribution.
• Prior_probability wikiPageWikiLink Category:Bayesian_statistics.
• Prior_probability wikiPageWikiLink Category:Probability_assessment.
• Prior_probability wikiPageWikiLink Coding_theory.
• Prior_probability wikiPageWikiLink Conjugate_prior.
• Prior_probability wikiPageWikiLink Continuous_random_variable.
• Prior_probability wikiPageWikiLink Cross_entropy.
• Prior_probability wikiPageWikiLink Decision_theory.
• Prior_probability wikiPageWikiLink Edwin_T._Jaynes.
• Prior_probability wikiPageWikiLink Edwin_Thompson_Jaynes.
• Prior_probability wikiPageWikiLink Entropy_(information_theory).
• Prior_probability wikiPageWikiLink Expected_value.
• Prior_probability wikiPageWikiLink Frequentist.
• Prior_probability wikiPageWikiLink Frequentist_inference.
• Prior_probability wikiPageWikiLink Frequentist_matching.
• Prior_probability wikiPageWikiLink Frequentist_statistics.
• Prior_probability wikiPageWikiLink Group_action.
• Prior_probability wikiPageWikiLink Haar_measure.
• Prior_probability wikiPageWikiLink Haldane_prior.
• Prior_probability wikiPageWikiLink Harold_Jeffreys.
• Prior_probability wikiPageWikiLink Hierarchical_Bayes_model.
• Prior_probability wikiPageWikiLink Hyperparameter.
• Prior_probability wikiPageWikiLink Improper_prior.
• Prior_probability wikiPageWikiLink Inductive_inference.
• Prior_probability wikiPageWikiLink Inductive_reasoning.
• Prior_probability wikiPageWikiLink Information_theory.
• Prior_probability wikiPageWikiLink Jeffreys_prior.
• Prior_probability wikiPageWikiLink José-Miguel_Bernardo.
• Prior_probability wikiPageWikiLink Journal_of_the_Royal_Statistical_Society.
• Prior_probability wikiPageWikiLink Kullback–Leibler_divergence.
• Prior_probability wikiPageWikiLink Latent_variable.
• Prior_probability wikiPageWikiLink Lie_group.
• Prior_probability wikiPageWikiLink Likelihood_function.
• Prior_probability wikiPageWikiLink Minimum_description_length.
• Prior_probability wikiPageWikiLink Minxent.
• Prior_probability wikiPageWikiLink Normal_distribution.
• Prior_probability wikiPageWikiLink Observable_variable.
• Prior_probability wikiPageWikiLink Parameter.
• Prior_probability wikiPageWikiLink Positive_real_numbers.
• Prior_probability wikiPageWikiLink Positive_reals.
• Prior_probability wikiPageWikiLink Posterior_probability.
• Prior_probability wikiPageWikiLink Posterior_probability_distribution.
• Prior_probability wikiPageWikiLink Principle_of_indifference.
• Prior_probability wikiPageWikiLink Principle_of_maximum_entropy.
• Prior_probability wikiPageWikiLink Principle_of_transformation_groups.
• Prior_probability wikiPageWikiLink Prior_probability.
• Prior_probability wikiPageWikiLink Probability_distribution.
• Prior_probability wikiPageWikiLink Reference_prior.
• Prior_probability wikiPageWikiLink Shannon_entropy.
• Prior_probability wikiPageWikiLink Solomonoffs_theory_of_inductive_inference.
• Prior_probability wikiPageWikiLink Statistical_inference.
• Prior_probability wikiPageWikiLink Transformation_group.
• Prior_probability wikiPageWikiLink Translation_(geometry).
• Prior_probability wikiPageWikiLink Translation_group.
• Prior_probability wikiPageWikiLink Uniform_distribution_(continuous).
• Prior_probability wikiPageWikiLink Uninformative_prior.
• Prior_probability wikiPageWikiLink Variance.
• Prior_probability wikiPageWikiLinkText "''a priori''".
• Prior_probability wikiPageWikiLinkText "''prior distribution''".
• Prior_probability wikiPageWikiLinkText "Prior probability".
• Prior_probability wikiPageWikiLinkText "Prior probability#Improper priors".
• Prior_probability wikiPageWikiLinkText "Prior probability#Uninformative priors".
• Prior_probability wikiPageWikiLinkText "Prior probability#logarithmic prior".
• Prior_probability wikiPageWikiLinkText "Prior_probability#Uninformative_priors".
• Prior_probability wikiPageWikiLinkText "a priori".
• Prior_probability wikiPageWikiLinkText "antecedent distributions".
• Prior_probability wikiPageWikiLinkText "improper densities".
• Prior_probability wikiPageWikiLinkText "improper prior distribution".
• Prior_probability wikiPageWikiLinkText "improper priors".
• Prior_probability wikiPageWikiLinkText "informative prior".
• Prior_probability wikiPageWikiLinkText "non-informative prior".
• Prior_probability wikiPageWikiLinkText "objective Bayes".
• Prior_probability wikiPageWikiLinkText "pre-determined".
• Prior_probability wikiPageWikiLinkText "prior PDF".
• Prior_probability wikiPageWikiLinkText "prior distribution".
• Prior_probability wikiPageWikiLinkText "prior distributions".
• Prior_probability wikiPageWikiLinkText "prior knowledge".
• Prior_probability wikiPageWikiLinkText "prior probabilities".
• Prior_probability wikiPageWikiLinkText "prior probability distribution".
• Prior_probability wikiPageWikiLinkText "prior probability distributions".
• Prior_probability wikiPageWikiLinkText "prior probability".
• Prior_probability wikiPageWikiLinkText "prior probability#Uninformative priors".

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