Doubly stochastic matrix

en

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Doubly stochastic matrix

Quality:

Doubly stochastic matrix - a square matrix. Article "Doubly stochastic matrix" in English Wikipedia has 26.1 points for quality (as of July 1, 2025). The article contains 11 references and 8 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Doubly stochastic matrix" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Doubly stochastic matrix", its content was written by 44 registered users of English Wikipedia and edited by 108 registered Wikipedia users in all languages.

The article is cited 183 times in English Wikipedia and cited 368 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #76218 in February 2017
  • Global: #140828 in September 2013

The highest popularity rank from 2008:

  • Local (English): #317835 in February 2020
  • Global: #480926 in February 2020

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
1English (en)
Doubly stochastic matrix
26.056
2Ukrainian (uk)
Двічі стохастична матриця
24.8073
3Russian (ru)
Дважды стохастическая матрица
23.4114
4French (fr)
Matrice bistochastique
21.3158
5Hebrew (he)
מטריצה דו-סטוכסטית
15.4386
6Japanese (ja)
二重確率行列
12.8045
7German (de)
Doppelt-stochastische Matrix
5.7276
8Slovenian (sl)
Dvojno stohastična matrika
2.6189
9Italian (it)
Matrice bistocastica
1.0466
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 "Doubly stochastic matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Doubly stochastic matrix
342 717
2French (fr)
Matrice bistochastique
18 468
3German (de)
Doppelt-stochastische Matrix
16 837
4Japanese (ja)
二重確率行列
16 405
5Russian (ru)
Дважды стохастическая матрица
10 817
6Hebrew (he)
מטריצה דו-סטוכסטית
7 792
7Italian (it)
Matrice bistocastica
5 706
8Slovenian (sl)
Dvojno stohastična matrika
1 169
9Ukrainian (uk)
Двічі стохастична матриця
228
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 "Doubly stochastic matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Doubly stochastic matrix
2 419
2Japanese (ja)
二重確率行列
130
3French (fr)
Matrice bistochastique
101
4German (de)
Doppelt-stochastische Matrix
53
5Russian (ru)
Дважды стохастическая матрица
47
6Hebrew (he)
מטריצה דו-סטוכסטית
40
7Italian (it)
Matrice bistocastica
10
8Slovenian (sl)
Dvojno stohastična matrika
8
9Ukrainian (uk)
Двічі стохастична матриця
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 "Doubly stochastic matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Doubly stochastic matrix
44
2Hebrew (he)
מטריצה דו-סטוכסטית
21
3German (de)
Doppelt-stochastische Matrix
15
4Italian (it)
Matrice bistocastica
9
5Russian (ru)
Дважды стохастическая матрица
8
6French (fr)
Matrice bistochastique
4
7Ukrainian (uk)
Двічі стохастична матриця
3
8Japanese (ja)
二重確率行列
2
9Slovenian (sl)
Dvojno stohastična matrika
2
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 "Doubly stochastic matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Doubly stochastic matrix
1
2German (de)
Doppelt-stochastische Matrix
0
3French (fr)
Matrice bistochastique
0
4Hebrew (he)
מטריצה דו-סטוכסטית
0
5Italian (it)
Matrice bistocastica
0
6Japanese (ja)
二重確率行列
0
7Russian (ru)
Дважды стохастическая матрица
0
8Slovenian (sl)
Dvojno stohastična matrika
0
9Ukrainian (uk)
Двічі стохастична матриця
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 "Doubly stochastic matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Doubly stochastic matrix
183
2Slovenian (sl)
Dvojno stohastična matrika
113
3French (fr)
Matrice bistochastique
18
4German (de)
Doppelt-stochastische Matrix
17
5Russian (ru)
Дважды стохастическая матрица
12
6Hebrew (he)
מטריצה דו-סטוכסטית
8
7Ukrainian (uk)
Двічі стохастична матриця
8
8Japanese (ja)
二重確率行列
7
9Italian (it)
Matrice bistocastica
2
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
Doppelt-stochastische Matrix
enEnglish
Doubly stochastic matrix
frFrench
Matrice bistochastique
heHebrew
מטריצה דו-סטוכסטית
itItalian
Matrice bistocastica
jaJapanese
二重確率行列
ruRussian
Дважды стохастическая матрица
slSlovenian
Dvojno stohastična matrika
ukUkrainian
Двічі стохастична матриця

Popularity rank trends

Best Rank English:
#317835
02.2020
Global:
#480926
02.2020

AI rank trends

Best Rank English:
#76218
02.2017
Global:
#140828
09.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Doubly stochastic matrix from Wikipedia articles about Sinkhorns theorem, Stochastic matrix, Permutation matrix, Birkhoff polytope and Birkhoffs theorem. Whereas reading the article about Doubly stochastic matrix people most often go to Wikipedia articles on Stochastic matrix, Halls marriage theorem, Sinkhorns theorem, Unistochastic matrix and Birkhoff polytope.

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