Bayesians

Part of speech: noun

Definitions

  1. Relating to a statistical methodology that incorporates prior knowledge or beliefs into the analysis of data
  2. characterized by the use of Bayesian inference to update probabilities based on new information
  3. pertaining to a group of statisticians or individuals who advocate for a probability interpretation of uncertainty that is subjective and dynamic

Etymology: The term "Bayesians" derives from the name of Thomas Bayes, an 18th-century English statistician and Presbyterian minister. Bayes is best known for Bayes' theorem, a fundamental result in probability theory that provides a way to update the probability of a hypothesis based on new evidence. Although Bayes himself did not publish the theorem during his lifetime, it was brought to wider attention by his friend Richard Price after Bayes' death in 1761. The theorem laid the groundwork for what would become Bayesian probability, a framework for reasoning about uncertainty. The adjective "Bayesian," and by extension the noun form referring to adherents of this approach, emerged much later, as statistical philosophy and methods developed through the 19th and 20th centuries. The word typically describes those who interpret probability as a degree of belief or subjective confidence, rather than as a long-run frequency. This perspective contrasts with frequentist statistics, which dominated much of the 20th century. The rise of Bayesian methods in fields like machine learning, artificial intelligence, and decision theory brought the term into more common usage. The suffix "-ian" in "Bayesian" attaches to Bayes' name to indicate belonging or relating to him or his ideas. Thus, "Bayesians" are those who follow or apply the principles originating from Bayes' theorem. This formation is typical in English for creating demonyms or followers of intellectual traditions, similar to "Darwinians" for followers of Charles Darwin’s theories. Although the core concept originated in the 18th century, the word "Bayesian" only gained currency in academic and applied contexts during the 20th century, particularly with the advent of computational methods that made Bayesian inference practical. The plural noun form, "Bayesians," naturally followed to denote individuals or groups committed to this probabilistic approach.

Synonyms: followers of Bayesianism, Bayesian statisticians

Antonyms: frequentists