• In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic...
    18 KB (2,571 words) - 11:09, 17 April 2025
  • are called coherent. De Finetti is also noted for de Finetti's theorem on exchangeable sequences of random variables. De Finetti was not the first to...
    13 KB (1,324 words) - 19:07, 11 October 2024
  • are justified by the Dutch book argument or by decision theory and de Finetti's theorem. The objective and subjective variants of Bayesian probability differ...
    33 KB (3,425 words) - 13:44, 13 April 2025
  • given the underlying distributional form. This theorem is stated briefly below. (De Finetti's original theorem only showed this to be true for random indicator...
    17 KB (2,561 words) - 20:51, 5 March 2025
  • distribution Regular conditional probability Disintegration theorem Bayes' theorem de Finetti's theorem Exchangeable random variables Rule of succession Conditional...
    11 KB (1,000 words) - 14:07, 2 May 2024
  • include: de Finetti's theorem, which explains why exchangeable observations are conditionally independent given some (usually) unobservable quantity de Finetti...
    407 bytes (81 words) - 16:57, 12 October 2014
  • Berry–Esséen theorem (probability theory) Cochran's theorem (statistics) Cox's theorem (probability) Cramér’s decomposition theorem (statistics) De Finetti's theorem...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Thumbnail for David A. Freedman
    included the analysis of martingale inequalities, Markov processes, de Finetti's theorem, consistency of Bayes estimators, sampling, the bootstrap, and procedures...
    12 KB (1,192 words) - 21:22, 26 April 2025
  • {\displaystyle \beta \left(\cdot ;\,\alpha ,\,\gamma \right)} . In De Finetti's theorem, if we replace π ( ⋅ ) {\displaystyle \pi (\cdot )} with β ( ⋅ ;...
    16 KB (3,097 words) - 10:14, 2 December 2024
  • Thumbnail for Independent and identically distributed random variables
    complex features to enhance model accuracy. De Finetti's theorem Pairwise independent variables Central limit theorem Clauset, Aaron (2011). "A brief primer...
    14 KB (2,119 words) - 18:51, 10 February 2025
  • the study of ergodic systems, as well as in theorems of probability theory such as de Finetti's theorem and the Hewitt-Savage law. Let ( X , F ) {\displaystyle...
    10 KB (1,461 words) - 11:53, 27 July 2024
  • one has probability measures over probability measures (such as in de Finetti's theorem). Like many iterable constructions, it has the category-theoretic...
    13 KB (2,002 words) - 09:36, 11 November 2024
  • Thumbnail for De Finetti diagram
    A de Finetti diagram is a ternary plot used in population genetics. It is named after the Italian statistician Bruno de Finetti (1906–1985) and is used...
    2 KB (228 words) - 10:34, 31 October 2024
  • Thumbnail for Conditional dependence
    {\displaystyle C.} Conditional independence – Probability theory concept de Finetti's theorem – Conditional independence of exchangeable observations Conditional...
    8 KB (1,014 words) - 13:05, 20 December 2023
  • index Davis distribution De Finetti's game De Finetti's theorem DeFries–Fulker regression de Moivre's law De Moivre–Laplace theorem Decision boundary Decision...
    87 KB (8,280 words) - 23:04, 12 March 2025
  • Stanford University in 1981. In his doctoral thesis, he studied de Finetti's theorem and its possible turn out in Markov chain.[clarification needed]...
    4 KB (222 words) - 15:50, 1 September 2023
  • Thumbnail for Dirichlet process
    repetitions they each have. Because of this exchangeability, de Finetti's representation theorem applies and it implies that the observations X 1 , X 2 ,...
    32 KB (4,861 words) - 22:31, 25 January 2024
  • thought experiment was first proposed by the Italian probabilist Bruno de Finetti in order to justify Bayesian probability,[citation needed] and was more...
    17 KB (2,412 words) - 21:19, 23 May 2025
  • category. A limit of particular significance for probability theory is de Finetti's theorem, which can be interpreted as the fact that the space of probability...
    11 KB (1,557 words) - 16:42, 14 May 2025
  • models with prior distributions over parameters and appealing to the de Finetti's theorem to justify that this produces valid operational subjective probabilities...
    7 KB (1,246 words) - 09:12, 27 March 2023
  • Thumbnail for Conditional independence
    K\Rightarrow Y\perp \!\!\!\perp X\mid K} . Graphoid Conditional dependence de Finetti's theorem Conditional expectation To see that this is the case, one needs to...
    22 KB (4,117 words) - 22:42, 14 May 2025
  • Thumbnail for R. L. Hudson
    R. (1976). "Locally normal symmetric states and an analogue of de Finetti's Theorem". Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete...
    9 KB (782 words) - 15:35, 6 April 2025
  • Savage's subjective expected utility model (category Economics theorems)
    known as Savage's framework, Savage's axioms, or Savage's representation theorem) is a formalization of subjective expected utility (SEU) developed by Leonard...
    9 KB (1,475 words) - 07:37, 28 May 2025
  • process / (S:B) Boole's inequality / (FS:B) Borel–Cantelli lemma / (S:B) De Finetti's theorem / (S:B) Exchangeable random variables / (S:BR) Random walk / (FLS:BD)...
    35 KB (3,026 words) - 12:15, 30 October 2023
  • divisibility of probability distributions was introduced in 1929 by Bruno de Finetti. This type of decomposition of a distribution is used in probability and...
    9 KB (1,056 words) - 20:03, 11 April 2024
  • Erkenntnis. 31. de Finetti B (1937). "La Prévision: ses lois logiques, ses sources subjectives". Annales de l'Institut Henri Poincaré. de Finetti B (1964)....
    42 KB (5,622 words) - 20:53, 22 May 2025
  • Thumbnail for Quantum Bayesianism
    Quantum Bayesianism (category CS1 German-language sources (de))
    probability have motivated technical work. A quantum version of the de Finetti theorem, introduced by Caves, Fuchs, and Schack (independently reproving a...
    70 KB (8,310 words) - 13:50, 6 November 2024
  • Thumbnail for Probability theory
    describing such behaviour are the law of large numbers and the central limit theorem. As a mathematical foundation for statistics, probability theory is essential...
    26 KB (3,591 words) - 11:44, 23 April 2025
  • the quasi-arithmetic mean or generalised f-mean or Kolmogorov-Nagumo-de Finetti mean is one generalisation of the more familiar means such as the arithmetic...
    11 KB (1,936 words) - 15:10, 17 February 2025
  • Thumbnail for Modern portfolio theory
    Prof. Stefan Mittnik "Bruno de Finetti and Mean-Variance Portfolio Selection Article by Mark Rubinstein on Bruno de Finetti's discovery and comments by...
    52 KB (7,875 words) - 14:00, 26 May 2025