• Pythagorean
  • Examples include Hubble's law which was derived by Georges LemaĆ®tre two years before Edwin Hubble, the Pythagorean theorem although it was known to Babylonian mathematicians before Pythagoras, and Halley's comet which was observed by astronomers since at least 240 BC. (wikipedia.org)
  • View
  • According to the objectivist view, probability is a reasonable expectation that represents the state of knowledge, can be interpreted as an extension of logic, and its rules can be justified by Cox's theorem. (wikipedia.org)
  • According to the subjectivist view, probability quantifies a personal belief, and its rules can be justified by requirements of rationality and coherence following from the Dutch book argument or from the decision theory and de Finetti's theorem. (wikipedia.org)
  • evidence
  • This is one of the things I really like about Bayes - it expressly considers the probability that a claim is true given everything we know about the universe, and then puts new evidence into the context of that prior probability. (theness.com)
  • First, they have said that whatever its value in litigation, Bayes' theorem is valuable in studying evidence rules. (wikipedia.org)
  • These questions were intended to allow the Bayes factors of the various pieces of evidence to be assessed. (wikipedia.org)
  • better
  • So we experimented some, and we found out that when you raise that first factor [in Bayes' theorem] to the 1.5 power, you get a better result. (johndcook.com)
  • case
  • c. 1701 - 7 April 1761) was an English statistician, philosopher and Presbyterian minister who is known for having formulated a specific case of the theorem that bears his name: Bayes' theorem. (wikipedia.org)
  • Author
  • Bayes' "Essay" contains his solution to a similar problem posed by Abraham de Moivre, author of The Doctrine of Chances (1718). (wikipedia.org)
  • find
  • No, for the same reason we aren't surprised when we find that logistic regression outperforms naive Bayes. (johndcook.com)
  • make
  • He then explores precisely how the theorem can be applied to history and addresses numerous challenges to and criticisms of its use in testing or justifying the conclusions that historians make about the important persons and events of the past. (idreambooks.com)
  • methods
  • The traditional and established methods of historians are analyzed using the theorem, as well as all the major "historicity criteria" employed in the latest quest to establish the historicity of Jesus. (idreambooks.com)