Bayes estimate

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• 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 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

• Bayes theorem — A probability principle set forth by the English mathematician Thomas Bayes (1702 1761). Bayes theorem is of value in medical decision making and some of the biomedical sciences. Bayes theorem is employed in clinical epidemiology to determine the …   Medical dictionary

• Bayes, Thomas — ▪ English theologian and mathematician born 1702, London, England died April 17, 1761, Tunbridge Wells, Kent       English Nonconformist theologian and mathematician who was the first to use probability (probability theory) inductively and who… …   Universalium

• Empirical Bayes method — In statistics, empirical Bayes methods are a class of methods which use empirical data to evaluate / approximate the conditional probability distributions that arise from Bayes theorem. These methods allow one to estimate quantities… …   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

• Hierarchical Bayes model — The hierarchical Bayes method is one of the most important topics in modern Bayesian analysis. It is a powerful tool for expressing rich statistical models that more fully reflect a given problem than a simpler model could. Given data x,! and… …   Wikipedia

• Theorem, Bayes — A probability principle set forth by the English mathematician Thomas Bayes (1702 1761). Bayes theorem is of value in medical decision making and some of the biomedical sciences. Bayes theorem is employed in clinical epidemiology to determine the …   Medical dictionary

• Bayesian inference — is statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true. The name Bayesian comes from the frequent use of Bayes theorem in the inference process. Bayes theorem… …   Wikipedia

• Maximum a posteriori estimation — In Bayesian statistics, a maximum a posteriori probability (MAP) estimate is a mode of the posterior distribution. The MAP can be used to obtain a point estimate of an unobserved quantity on the basis of empirical data. It is closely related to… …   Wikipedia

• Bayesian linear regression — In statistics, Bayesian linear regression is a Bayesian alternative to the more well known ordinary least squares linear regression.Consider standard linear regression problem, where we specify the conditional density of y, given x, predictor… …   Wikipedia