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Bapat–Beg theorem — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T23:24:40.201Z
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Bapat–Beg theorem — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_cd89c1909a60 (Metraipolis archive dc_cd89c1909a60, sha256 b5b9b6c28f4b22010fa12f383716f1e83dd9fcb7cbe5509bda96339c7ff7c862)

BibTeX

@misc{dccd89c1909a60,
  title = {Bapat–Beg theorem — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_cd89c1909a60; sha256 b5b9b6c28f4b22010fa12f383716f1e83dd9fcb7cbe5509bda96339c7ff7c862},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In probability theory, the Bapat–Beg theorem gives the joint probability distribution of order statistics of independent but not necessarily identically distributed random variables in terms of the cumulative distribution functions of the random variables. Ravindra Bapat and M.I. Beg published the theorem in 1989, though they did not offer a proof. A simple proof was offered by Hande in 1994. Often, all elements of the sample are obtained from the same population and thus have the same probability distribution. The Bapat–Beg theorem describes the order statistics when each element of the sample is obtained from a different statistical population and therefore has its own probability distribution.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «probability theory»).
Fonte: Wikipedia in inglese, voce «Bapat–Beg theorem» — https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem
Wikidata Q4857506 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q4857506
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Bapat%E2%80%93Beg_theorem?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1285525630, consultata il 2026-10-07T23:04:00.716Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: f82e3728d6ea334f75ed9ec931dad3915a8305dd5c39a2030af32a07f531c22a