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Bayesian Statisticians
Thomas Bayes ( ; c. 1701 – 1761) was an English statistician, philosopher, and Presbyterian minister. Bayesian ( or ) may be either any of a range of concepts and approaches that relate to statistical methods based on Bayes' theorem Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting Conditional probability, conditional probabilities, allowing one to find the probability of a cause given its effect. For exampl ..., or a follower of these methods. Bayes * * * * * * * * * * * – sometimes called ''Bayes' rule'' or ''Bayesian updating'' * * * * * * Bayesian *'' Bayesian'', a superyacht sunk off Palermo in 2024 * * * * * * * * * * * * * * * * * * (BIC) * Widely applicable Bayesian information criterion (WBIC) * * * * * * (BMA) * (BMC) * * * * * * * (BAYOMA) * * * * * * * * * * * * * * * * * * * * * * (PBE) * * * * * See also * * * *, a cryptanalytic process * * * * (BUGS) * * (BATMAN) * * * *, a genera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Bayes
Thomas Bayes ( , ; 7 April 1761) was an English statistician, philosopher and Presbyterian minister who is known for formulating a specific case of the theorem that bears his name: Bayes' theorem. Bayes never published what would become his most famous accomplishment; his notes were edited and published posthumously by Richard Price. Biography Thomas Bayes was the son of London Presbyterian minister Joshua Bayes, and was possibly born in Hertfordshire. He came from a prominent Nonconformist (Protestantism), nonconformist family from Sheffield. In 1719, he enrolled at the University of Edinburgh to study logic and theology. On his return around 1722, he assisted his father at the latter's chapel in London before moving to Royal Tunbridge Wells, Tunbridge Wells, Kent, around 1734. There he was minister of the Mount Sion Chapel, until 1752. He is known to have published two works in his lifetime, one theological and one mathematical: #''Divine Benevolence, or an Attempt to P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Presbyterian
Presbyterianism is a historically Reformed Protestant tradition named for its form of church government by representative assemblies of elders, known as "presbyters". Though other Reformed churches are structurally similar, the word ''Presbyterian'' is applied to churches that trace their roots to the Church of Scotland or to English Dissenter groups that were formed during the English Civil War, 1642 to 1651. Presbyterian theology typically emphasises the sovereignty of God, the authority of the Scriptures, and the necessity of grace through faith in Christ. Scotland ensured Presbyterian church government in the 1707 Acts of Union, which created the Kingdom of Great Britain. In fact, most Presbyterians in England have a Scottish connection. The Presbyterian denomination was also taken to North America, Australia, and New Zealand, mostly by Scots and Scots-Irish immigrants. Scotland's Presbyterian denominations hold to the Reformed theology of John Calvin and his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayes' Theorem
Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting Conditional probability, conditional probabilities, allowing one to find the probability of a cause given its effect. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to someone of a known age to be assessed more accurately by conditioning it relative to their age, rather than assuming that the person is typical of the population as a whole. Based on Bayes' law, both the prevalence of a disease in a given population and the error rate of an infectious disease test must be taken into account to evaluate the meaning of a positive test result and avoid the ''base-rate fallacy''. One of Bayes' theorem's many applications is Bayesian inference, an approach to statistical inference, where it is used to invert the probability of Realization (probability), observations given a model configuration (i.e., th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayesian (yacht)
''Bayesian'' ( or ) was a sailing superyacht, built as ''Salute'' by Perini Navi at Viareggio, Italy, and delivered in 2008. It had a mast, one of the tallest in the world. The yacht was last refitted in 2020. It was in the legal ownership of Angela Bacares, wife of the technology entrepreneur Mike Lynch. It was at anchor off the northern coast of Sicily near Porticello on 19 August 2024, when it was struck shortly before dawn by a powerful storm and sank. Design and construction ''Bayesian'' was a sloop designed by Ron Holland and built by Perini Navi with a long aluminium hull and superstructure and a single-masted cutter rig. One of the world's largest sailing yachts, it was one of a number of similar vessels from this designer and shipyard, though the only one of their ten 56-metre series that, at the initial client's request, was not a two-masted ketch. The mast of , as measured from the designwaterline (DWL), was at the time of construction the world ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Watanabe–Akaike Information Criterion
In statistics, the Widely Applicable Information Criterion (WAIC), also known as Watanabe–Akaike information criterion, is the generalized version of the Akaike information criterion (AIC) onto singular statistical models. It is used as measure how well will model predict data it wasn't trained on. It is asymptotically equivalent to cross-validation loss. Lower values of WAIC correspond to better performance. If we take log pointwise predictive density: :\text(y, \Theta) = \sum_ \log \frac \sum_ p(y_i \mid \Theta_s) Then: :\text(y, \Theta) = -2 \left( \text - \underbrace_ \right) Where y is predicted output in training data. Θ is models posterior distribution, s are samples from posterior, and i iterates over training data. In other words, in Bayesian statistics the posterior is represented by list of samples from it. WAIC penalty is then the variance of predictions among these samples, calculated and added for each datapoint from dataset. The penalty term is often r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
