# exchangeability

- In the subjective or personalist theory of probability a substitute must be found for the apparently objective or realist notion of an unknown probability, say of a coin coming up heads. The personalist substitute for the notion, developed by de Finetti, regards the event as a member of a sequence of tosses, which are in turn thought of as having the property that the probability of any n-fold subset of the events being a case of heads depends solely on n. To regard a sequence in this way is to regard events in it as exchangeable, and provides a personalist substitute for the classical notion of a sequence of independent events sharing a fixed unknown probability.

*Philosophy dictionary.
Academic.
2011.*

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**Exchangeability**— Ex*change a*bil i*ty, n. The quality or state of being exchangeable. [1913 Webster] The law ought not be contravened by an express article admitting the exchangeability of such persons. Washington. [1913 Webster] … The Collaborative International Dictionary of English**exchangeability**— pakeičiamumas statusas T sritis fizika atitikmenys: angl. exchangeability; replaceability vok. Austauschbarkeit, f; Vertauschbarkeit, f rus. заменимость, f; заменяемость, f pranc. remplaçabilité, f … Fizikos terminų žodynas**exchangeability**— noun see exchange II … New Collegiate Dictionary**exchangeability**— noun The condition of being exchangeable … Wiktionary**exchangeability**— n. quality of being exchangeable, capable of being exchanged; replaceability; interchangeability … English contemporary dictionary**exchangeability**— noun the quality of being capable of exchange or interchange • Syn: ↑interchangeability, ↑interchangeableness, ↑fungibility • Ant: ↑unexchangeability • Derivationally related forms: ↑fungible ( … Useful english dictionary**exchangeable**— exchangeability, n. exchangeably, adv. /iks chayn jeuh beuhl/, adj. capable of being exchanged. [1565 75; EXCHANGE + ABLE] Syn. EXCHANGEABLE, INTERCHANGEABLE apply to something that may replace something else. That which is EXCHANGEABLE may be… … Universalium**Bruno de Finetti**— Born 13 June 1906(1906 06 13) Innsbruck, Austria … Wikipedia**de Finetti's theorem**— In probability theory, de Finetti s theorem explains why exchangeable observations are conditionally independent given some latent variable to which an epistemic probability distribution would then be assigned. It is named in honor of Bruno de… … Wikipedia**De Finetti's theorem**— In probability theory, de Finetti s theorem explains why exchangeable observations are conditionally independent given some (usually) unobservable quantity to which an epistemic probability distribution would then be assigned. It is named in… … Wikipedia