Fisher-Tippett-Gnedenko theorem

proper noun

A general result in extreme value theory regarding asymptotic distribution of extreme order statistics. The maximum of a sample of iid random variables after proper renormalization can only converge in distribution to one of three possible distribution families: the Gumbel distribution, the Fréchet distribution, or the Weibull distribution.

Similar
extreme value theoremFisher-Tippett theorem
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Meanings

proper nounthe Fisher-Tippett-Gnedenko theorem
  1. mathematicsA general result in extreme value theory regarding asymptotic distribution of extreme order statistics. The maximum of a sample of iid random variables after proper renormalization can only converge in distribution to one of three possible distribution families: the Gumbel distribution, the Fréchet distribution, or the Weibull distribution.

    Synonyms: extreme value theorem, Fisher-Tippett theorem

Synonyms & antonyms

proper nounA general result in extreme value theory regarding asymptotic distribution of extreme order statistics. The maximum of a sample of iid random variables after proper renormalization can only converge in distribution to one of three possible distribution families: the Gumbel distribution, the Fréchet distribution, or the Weibull distribution.

Similar
extreme value theoremFisher-Tippett theorem
Also see
extreme value theoremfisher-tippett theorem
Cite this entry
APA

Fisher-Tippett-Gnedenko theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Fisher-Tippett-Gnedenko%20theorem

MLA

“Fisher-Tippett-Gnedenko theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fisher-Tippett-Gnedenko%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fisher-Tippett-Gnedenko theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Fisher-Tippett-Gnedenko%20theorem.

Source: Fisher-Tippett-Gnedenko theorem on Wiktionary, CC BY-SA 4.0.