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Bayes rule

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  • Bayes linear — is a subjectivist statistical methodology and framework. Traditional subjective Bayesian analysis is based upon fully specified probability distributions, which are very difficult to specify at the necessary level of detail. Bayes linear attempts …   Wikipedia

  • Bayes estimator — In decision theory and estimation theory, a Bayes estimator is an estimator or decision rule that maximizes the posterior expected value of a utility function or minimizes the posterior expected value of a loss function (also called posterior… …   Wikipedia

  • Bayes' Theorem — A formula for determining conditional probability named after 18th century British mathematician Thomas Bayes. The theorem provides a way to revise existing predictions or theories given new or additional evidence. In finance, Bayes’… …   Investment dictionary

  • Bayes' theorem — In probability theory, Bayes theorem (often called Bayes law after Thomas Bayes) relates the conditional and marginal probabilities of two random events. It is often used to compute posterior probabilities given observations. For example, a… …   Wikipedia

  • Bayes factor — In statistics, the use of Bayes factors is a Bayesian alternative to classical hypothesis testing.cite journal | author = Goodman S | title = Toward evidence based medical statistics. 1: The P value fallacy | journal = Ann Intern Med | volume =… …   Wikipedia

  • Rule of succession — In probability theory, the rule of succession is a formula introduced in the 18th century by Pierre Simon Laplace in the course of treating the sunrise problem.The formula is still used, particularly to estimate underlying probabilities for… …   Wikipedia

  • Admissible decision rule — In classical (frequentist) decision theory, an admissible decision rule is a rule for making a decision that is better than any other rule that may compete with it, in a specific sense defined below. Generally speaking, in most decision problems… …   Wikipedia

  • Naive Bayes classifier — A naive Bayes classifier is a simple probabilistic classifier based on applying Bayes theorem with strong (naive) independence assumptions. A more descriptive term for the underlying probability model would be independent feature model . In… …   Wikipedia

  • Classification rule — See also: Statistical classification and Classification in machine learning Given a population whose members can be potentially separated into a number of different sets or classes, a classification rule is a procedure in which the elements… …   Wikipedia

  • Evidence under Bayes theorem — Among evidence scholars, the study of evidence in recent decades has become broadly interdisciplinary, incorporating insights from psychology, feminism, economics, and probability theory. One area of particular interest and controversy has been… …   Wikipedia

  • Decision rule — This article is about decision theory. For the use in computer science, see decision rules. In decision theory, a decision rule is a function which maps an observation to an appropriate action. Decision rules play an important role in the theory… …   Wikipedia

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