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Frequentist Probability ○𓆪｜Definition｜1st｜20251122123847-00-⌔

Frequentist probability - Wikipedia

Frequentist probability

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Frequentist probability or frequentism is an interpretation of probability; it defines an event’s probability (the long-run probability) as the limit of its relative frequency in infinitely many trials.1 Probabilities can be found (in principle) by a repeatable objective process, as in repeated sampling from the same population, and are thus ideally devoid of subjectivity. The continued use of frequentist methods in scientific inference, however, has been called into question.234

The development of the frequentist account was motivated by the problems and paradoxes of the previously dominant viewpoint, the classical interpretation. In the classical interpretation, probability was defined in terms of the principle of indifference, based on the natural symmetry of a problem, so, for example, the probabilities of dice games arise from the natural symmetric 6-sidedness of the cube. This classical interpretation, however, struggles to explain probability in systems without natural symmetries.

Printed 2026-06-28.

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Footnotes

  1. Kaplan, D. (2014). Bayesian Statistics for the Social Sciences. Methodology in the Social Sciences. Guilford Publications. p. 4. ISBN 978-1-4625-1667-4. Retrieved 23 April 2022. ↩

  2. Goodman, Steven N. (1999). “Toward evidence-based medical statistics. 1: The p value fallacy”. Annals of Internal Medicine. 130 (12): 995–1004. doi:10.7326/0003-4819-130-12-199906150-00008. PMID 10383371. S2CID 7534212. ↩

  3. Morey, Richard D.; Hoekstra, Rink; Rouder, Jeffrey N.; Lee, Michael D.; Wagenmakers, Eric-Jan (2016). “The fallacy of placing confidence in confidence intervals”. Psychonomic Bulletin & Review. 23 (1): 103–123. doi:10.3758/s13423-015-0947-8. PMC 4742505. PMID 26450628. ↩

  4. Matthews, Robert (2021). “The p-value statement, five years on”. Significance. 18 (2): 16–19. doi:10.1111/1740-9713.01505. S2CID 233534109. ↩

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