Optional stopping theorem

en

WikiRank.net
ver. 1.6.2

Optional stopping theorem

Quality:

Optional stopping theorem - martingale's expected value at a stopping time equals its initial expected value. Article “Optional stopping theorem” in English Wikipedia has 10.9 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.92 points.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Optional stopping theorem”, its content was written by 43 registered users of English Wikipedia and edited by 82 registered Wikipedia users in all languages.

The article is cited 287 times in English Wikipedia and cited 317 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #113757 in August 2014
  • Global: #104363 in December 2024

The highest popularity rank from 2008:

  • Local (English): #224002 in November 2021
  • Global: #343354 in November 2021

There are 9 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Optional Stopping Theorem
14.0227
2English (en)
Optional stopping theorem
10.8532
3Ukrainian (uk)
Теорема про довільну зупинку
7.1712
4Hebrew (he)
משפט ברירת זמן העצירה
6.8458
5Russian (ru)
Теорема Дуба об остановке
3.7925
6Spanish (es)
Teorema de la parada opcional
2.5065
7Italian (it)
Teorema di arresto opzionale di Doob
2.0738
8French (fr)
Théorème d'arrêt de Doob
1.9495
9Polish (pl)
Twierdzenie Dooba
1.6197
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Optional stopping theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Optional stopping theorem
530 339
2French (fr)
Théorème d'arrêt de Doob
34 743
3German (de)
Optional Stopping Theorem
25 495
4Italian (it)
Teorema di arresto opzionale di Doob
15 374
5Polish (pl)
Twierdzenie Dooba
11 076
6Hebrew (he)
משפט ברירת זמן העצירה
4 381
7Spanish (es)
Teorema de la parada opcional
2 103
8Russian (ru)
Теорема Дуба об остановке
1 129
9Ukrainian (uk)
Теорема про довільну зупинку
132
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Optional stopping theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Optional stopping theorem
2 840
2French (fr)
Théorème d'arrêt de Doob
152
3Russian (ru)
Теорема Дуба об остановке
140
4Italian (it)
Teorema di arresto opzionale di Doob
81
5Polish (pl)
Twierdzenie Dooba
72
6German (de)
Optional Stopping Theorem
67
7Spanish (es)
Teorema de la parada opcional
30
8Hebrew (he)
משפט ברירת זמן העצירה
26
9Ukrainian (uk)
Теорема про довільну зупинку
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Optional stopping theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Optional stopping theorem
43
2German (de)
Optional Stopping Theorem
10
3French (fr)
Théorème d'arrêt de Doob
7
4Polish (pl)
Twierdzenie Dooba
7
5Ukrainian (uk)
Теорема про довільну зупинку
5
6Italian (it)
Teorema di arresto opzionale di Doob
4
7Spanish (es)
Teorema de la parada opcional
3
8Hebrew (he)
משפט ברירת זמן העצירה
2
9Russian (ru)
Теорема Дуба об остановке
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Optional stopping theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Optional Stopping Theorem
0
2English (en)
Optional stopping theorem
0
3Spanish (es)
Teorema de la parada opcional
0
4French (fr)
Théorème d'arrêt de Doob
0
5Hebrew (he)
משפט ברירת זמן העצירה
0
6Italian (it)
Teorema di arresto opzionale di Doob
0
7Polish (pl)
Twierdzenie Dooba
0
8Russian (ru)
Теорема Дуба об остановке
0
9Ukrainian (uk)
Теорема про довільну зупинку
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Optional stopping theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Optional stopping theorem
287
2French (fr)
Théorème d'arrêt de Doob
8
3German (de)
Optional Stopping Theorem
6
4Italian (it)
Teorema di arresto opzionale di Doob
5
5Hebrew (he)
משפט ברירת זמן העצירה
4
6Spanish (es)
Teorema de la parada opcional
3
7Ukrainian (uk)
Теорема про довільну зупинку
3
8Russian (ru)
Теорема Дуба об остановке
1
9Polish (pl)
Twierdzenie Dooba
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Optional Stopping Theorem
enEnglish
Optional stopping theorem
esSpanish
Teorema de la parada opcional
frFrench
Théorème d'arrêt de Doob
heHebrew
משפט ברירת זמן העצירה
itItalian
Teorema di arresto opzionale di Doob
plPolish
Twierdzenie Dooba
ruRussian
Теорема Дуба об остановке
ukUkrainian
Теорема про довільну зупинку

Popularity rank trends

Best Rank English:
#224002
11.2021
Global:
#343354
11.2021

AI rank trends

Best Rank English:
#113757
08.2014
Global:
#104363
12.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Optional stopping theorem from Wikipedia articles about Martingale, Martingale, Optimal stopping, Stopping time and Walds equation. Whereas reading the article about Optional stopping theorem people most often go to Wikipedia articles on Martingale, Stopping time, Fundamental theorem of asset pricing, Joseph Leo Doob and Martingale.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information