Chernoff bound

en

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Chernoff bound

Quality:

Chernoff bound - exponentially decreasing bounds on tail distributions of sums of independent random variables. Article “Chernoff bound” in English Wikipedia has 45 points for quality (as of July 1, 2025). The article contains 22 references and 18 sections.

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

In June 2025 the article “Chernoff bound” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Chernoff bound”, its content was written by 115 registered users of English Wikipedia and edited by 256 registered Wikipedia users in all languages.

The article is cited 55 times in English Wikipedia and cited 165 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #13761 in November 2021
  • Global: #57487 in November 2021

The highest popularity rank from 2008:

  • Local (English): #101146 in February 2008
  • Global: #151383 in February 2008

There are 13 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)
Chernoff bound
44.9877
2Portuguese (pt)
Limite de Chernoff
40.4109
3Russian (ru)
Оценка Чернова
29.1081
4Spanish (es)
Cotas de Chernoff
19.3751
5French (fr)
Inégalité de Chernoff
14.9788
6German (de)
Chernoff-Ungleichung
14.1374
7Hungarian (hu)
Chernoff-egyenlőtlenség
13.9298
8Ukrainian (uk)
Нерівність Чернова
12.1011
9Hebrew (he)
אי-שוויון צ'רנוף
11.3304
10Vietnamese (vi)
Chặn Chernoff
11.3029
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 "Chernoff bound" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Chernoff bound
1 428 937
2German (de)
Chernoff-Ungleichung
66 029
3French (fr)
Inégalité de Chernoff
46 893
4Hebrew (he)
אי-שוויון צ'רנוף
40 784
5Polish (pl)
Nierówność Chernoffa
16 021
6Russian (ru)
Оценка Чернова
14 754
7Vietnamese (vi)
Chặn Chernoff
13 317
8Persian (fa)
کران چرنوف
9 007
9Spanish (es)
Cotas de Chernoff
6 816
10Thai (th)
ขอบเขตเชอร์นอฟ
5 939
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 "Chernoff bound" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Chernoff bound
5 988
2Russian (ru)
Оценка Чернова
311
3German (de)
Chernoff-Ungleichung
273
4French (fr)
Inégalité de Chernoff
254
5Hebrew (he)
אי-שוויון צ'רנוף
187
6Portuguese (pt)
Limite de Chernoff
74
7Polish (pl)
Nierówność Chernoffa
61
8Spanish (es)
Cotas de Chernoff
39
9Vietnamese (vi)
Chặn Chernoff
34
10Persian (fa)
کران چرنوف
30
More...

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

The highest AI

Language versions of the article "Chernoff bound" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Chernoff bound
115
2German (de)
Chernoff-Ungleichung
38
3French (fr)
Inégalité de Chernoff
29
4Hebrew (he)
אי-שוויון צ'רנוף
18
5Persian (fa)
کران چرنوف
10
6Polish (pl)
Nierówność Chernoffa
8
7Thai (th)
ขอบเขตเชอร์นอฟ
8
8Spanish (es)
Cotas de Chernoff
7
9Russian (ru)
Оценка Чернова
6
10Vietnamese (vi)
Chặn Chernoff
6
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 "Chernoff bound" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Chernoff bound
1
2Portuguese (pt)
Limite de Chernoff
1
3German (de)
Chernoff-Ungleichung
0
4Spanish (es)
Cotas de Chernoff
0
5Persian (fa)
کران چرنوف
0
6French (fr)
Inégalité de Chernoff
0
7Hebrew (he)
אי-שוויון צ'רנוף
0
8Hungarian (hu)
Chernoff-egyenlőtlenség
0
9Polish (pl)
Nierówność Chernoffa
0
10Russian (ru)
Оценка Чернова
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 "Chernoff bound" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Chernoff bound
55
2Portuguese (pt)
Limite de Chernoff
23
3French (fr)
Inégalité de Chernoff
21
4Russian (ru)
Оценка Чернова
12
5German (de)
Chernoff-Ungleichung
11
6Hebrew (he)
אי-שוויון צ'רנוף
9
7Persian (fa)
کران چرنوف
8
8Ukrainian (uk)
Нерівність Чернова
8
9Vietnamese (vi)
Chặn Chernoff
6
10Spanish (es)
Cotas de Chernoff
5
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
Chernoff-Ungleichung
enEnglish
Chernoff bound
esSpanish
Cotas de Chernoff
faPersian
کران چرنوف
frFrench
Inégalité de Chernoff
heHebrew
אי-שוויון צ'רנוף
huHungarian
Chernoff-egyenlőtlenség
plPolish
Nierówność Chernoffa
ptPortuguese
Limite de Chernoff
ruRussian
Оценка Чернова
thThai
ขอบเขตเชอร์นอฟ
ukUkrainian
Нерівність Чернова
viVietnamese
Chặn Chernoff

Popularity rank trends

Best Rank English:
#101146
02.2008
Global:
#151383
02.2008

AI rank trends

Best Rank English:
#13761
11.2021
Global:
#57487
11.2021

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Chernoff bound from Wikipedia articles about Hoeffdings inequality, Concentration inequality, Chebyshevs inequality, Large deviations theory and Bernstein inequalities. Whereas reading the article about Chernoff bound people most often go to Wikipedia articles on Hoeffdings inequality, Markovs inequality, Herman Chernoff, Moment-generating function and Cramérs theorem (large deviations).

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 March 2026

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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