Doob martingale

en

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Doob martingale

Quality:

Doob martingale - mathematical construction of a martingale (with respect to a given filtration) approximating a given random variable; the evolving sequence of best approximations to the random variable based on information accumulated up to a certain time. Article “Doob martingale” in English Wikipedia has 12 points for quality (as of July 1, 2025). The article contains 3 references and 4 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.63 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 “Doob martingale”, its content was written by 32 registered users of English Wikipedia and edited by 59 registered Wikipedia users in all languages.

The article is cited 13 times in English Wikipedia and cited 33 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #98358 in March 2011
  • Global: #237707 in October 2011

The highest popularity rank from 2008:

  • Local (English): #651604 in April 2019
  • Global: #997273 in April 2019

There are 5 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)
Doob-Martingal
20.2692
2English (en)
Doob martingale
12.0172
3Vietnamese (vi)
Martingale Doob
5.4217
4Russian (ru)
Мартингал Дуба
1.9601
5Ukrainian (uk)
Мартингал Дуба
1.8787
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 "Doob martingale" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Doob martingale
136 831
2Russian (ru)
Мартингал Дуба
11 265
3Vietnamese (vi)
Martingale Doob
4 458
4German (de)
Doob-Martingal
4 344
5Ukrainian (uk)
Мартингал Дуба
1 238
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 "Doob martingale" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Doob martingale
487
2German (de)
Doob-Martingal
52
3Russian (ru)
Мартингал Дуба
26
4Vietnamese (vi)
Martingale Doob
14
5Ukrainian (uk)
Мартингал Дуба
7
More...

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

The highest AI

Language versions of the article "Doob martingale" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Doob martingale
32
2German (de)
Doob-Martingal
11
3Russian (ru)
Мартингал Дуба
6
4Ukrainian (uk)
Мартингал Дуба
5
5Vietnamese (vi)
Martingale Doob
5
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 "Doob martingale" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Doob-Martingal
0
2English (en)
Doob martingale
0
3Russian (ru)
Мартингал Дуба
0
4Ukrainian (uk)
Мартингал Дуба
0
5Vietnamese (vi)
Martingale Doob
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 "Doob martingale" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Doob martingale
13
2German (de)
Doob-Martingal
8
3Vietnamese (vi)
Martingale Doob
6
4Russian (ru)
Мартингал Дуба
3
5Ukrainian (uk)
Мартингал Дуба
3
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
Doob-Martingal
enEnglish
Doob martingale
ruRussian
Мартингал Дуба
ukUkrainian
Мартингал Дуба
viVietnamese
Martingale Doob

Popularity rank trends

Best Rank English:
#651604
04.2019
Global:
#997273
04.2019

AI rank trends

Best Rank English:
#98358
03.2011
Global:
#237707
10.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Doob martingale from Wikipedia articles about Martingale, Azumas inequality, Chernoff bound, Conditional expectation and McDiarmids inequality. Whereas reading the article about Doob martingale people most often go to Wikipedia articles on Joseph Leo Doob, Filtration, Martingale, McDiarmids inequality and Azumas inequality.

Cumulative results of quality and popularity of the Wikipedia article

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

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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