Characteristic function (probability theory)

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Characteristic function (probability theory)

Quality:

Characteristic function - function associated to a real-valued random variable that completely defines its probability distribution; the Fourier transform of the probability density function. Article "Characteristic function (probability theory)" in English Wikipedia has 51.5 points for quality (as of July 1, 2025). The article contains 27 references and 21 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Characteristic function (probability theory)", its content was written by 129 registered users of English Wikipedia and edited by 525 registered Wikipedia users in all languages.

The article is cited 207 times in English Wikipedia and cited 1320 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #15355 in June 2009
  • Global: #12089 in June 2009

The highest popularity rank from 2008:

  • Local (English): #50876 in November 2014
  • Global: #54951 in November 2014

There are 26 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)
Characteristic function (probability theory)
51.4911
2Catalan (ca)
Funció característica (teoria de la probabilitat)
44.9896
3Chinese (zh)
特征函数 (概率论)
34.0884
4German (de)
Charakteristische Funktion (Stochastik)
27.7973
5Turkish (tr)
Karakteristik fonksiyon
27.2704
6Hungarian (hu)
Karakterisztikus függvény (valószínűségszámítás)
24.9236
7Hebrew (he)
פונקציה אופיינית (הסתברות)
23.7027
8Japanese (ja)
特性関数 (確率論)
20.5961
9Vietnamese (vi)
Hàm đặc trưng (lý thuyết xác suất)
19.6345
10Portuguese (pt)
Função característica (probabilidade)
16.246
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 "Characteristic function (probability theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Characteristic function (probability theory)
2 455 812
2Spanish (es)
Función característica
362 942
3French (fr)
Fonction caractéristique (probabilités)
339 442
4German (de)
Charakteristische Funktion (Stochastik)
326 840
5Russian (ru)
Характеристическая функция случайной величины
303 445
6Chinese (zh)
特征函数 (概率论)
219 788
7Japanese (ja)
特性関数 (確率論)
182 105
8Polish (pl)
Funkcja charakterystyczna (teoria prawdopodobieństwa)
122 942
9Italian (it)
Funzione caratteristica (teoria della probabilità)
109 011
10Hebrew (he)
פונקציה אופיינית (הסתברות)
39 939
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 "Characteristic function (probability theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Characteristic function (probability theory)
7 652
2Russian (ru)
Характеристическая функция случайной величины
1 314
3French (fr)
Fonction caractéristique (probabilités)
1 157
4Japanese (ja)
特性関数 (確率論)
992
5German (de)
Charakteristische Funktion (Stochastik)
721
6Chinese (zh)
特征函数 (概率论)
643
7Polish (pl)
Funkcja charakterystyczna (teoria prawdopodobieństwa)
347
8Italian (it)
Funzione caratteristica (teoria della probabilità)
318
9Spanish (es)
Función característica
312
10Korean (ko)
특성함수 (확률론)
99
More...

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

The highest AI

Language versions of the article "Characteristic function (probability theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Characteristic function (probability theory)
129
2German (de)
Charakteristische Funktion (Stochastik)
65
3French (fr)
Fonction caractéristique (probabilités)
56
4Russian (ru)
Характеристическая функция случайной величины
33
5Italian (it)
Funzione caratteristica (teoria della probabilità)
31
6Polish (pl)
Funkcja charakterystyczna (teoria prawdopodobieństwa)
29
7Dutch (nl)
Karakteristieke functie (kansrekening)
20
8Hebrew (he)
פונקציה אופיינית (הסתברות)
16
9Turkish (tr)
Karakteristik fonksiyon
16
10Spanish (es)
Función característica
15
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 "Characteristic function (probability theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Charakteristische Funktion (Stochastik)
1
2Arabic (ar)
دالة مميزة (نظرية احتمالات)
0
3Bulgarian (bg)
Характеристична функция
0
4Catalan (ca)
Funció característica (teoria de la probabilitat)
0
5Czech (cs)
Charakteristická funkce (teorie pravděpodobnosti)
0
6English (en)
Characteristic function (probability theory)
0
7Esperanto (eo)
Karakteriza funkcio (probabloteorio)
0
8Spanish (es)
Función característica
0
9French (fr)
Fonction caractéristique (probabilités)
0
10Galician (gl)
Función característica
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 "Characteristic function (probability theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Characteristic function (probability theory)
207
2Japanese (ja)
特性関数 (確率論)
143
3French (fr)
Fonction caractéristique (probabilités)
108
4Catalan (ca)
Funció característica (teoria de la probabilitat)
89
5Chinese (zh)
特征函数 (概率论)
89
6German (de)
Charakteristische Funktion (Stochastik)
78
7Italian (it)
Funzione caratteristica (teoria della probabilità)
75
8Spanish (es)
Función característica
69
9Ukrainian (uk)
Характеристична функція випадкової величини
60
10Polish (pl)
Funkcja charakterystyczna (teoria prawdopodobieństwa)
57
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
arArabic
دالة مميزة (نظرية احتمالات)
bgBulgarian
Характеристична функция
caCatalan
Funció característica (teoria de la probabilitat)
csCzech
Charakteristická funkce (teorie pravděpodobnosti)
deGerman
Charakteristische Funktion (Stochastik)
enEnglish
Characteristic function (probability theory)
eoEsperanto
Karakteriza funkcio (probabloteorio)
esSpanish
Función característica
frFrench
Fonction caractéristique (probabilités)
glGalician
Función característica
heHebrew
פונקציה אופיינית (הסתברות)
huHungarian
Karakterisztikus függvény (valószínűségszámítás)
itItalian
Funzione caratteristica (teoria della probabilità)
jaJapanese
特性関数 (確率論)
koKorean
특성함수 (확률론)
nlDutch
Karakteristieke functie (kansrekening)
plPolish
Funkcja charakterystyczna (teoria prawdopodobieństwa)
ptPortuguese
Função característica (probabilidade)
ruRussian
Характеристическая функция случайной величины
skSlovak
Charakteristická funkcia (teória pravdepodobnosti)
slSlovenian
Karakteristična funkcija verjetnostne porazdelitve
svSwedish
Karakteristisk funktion
trTurkish
Karakteristik fonksiyon
ukUkrainian
Характеристична функція випадкової величини
viVietnamese
Hàm đặc trưng (lý thuyết xác suất)
zhChinese
特征函数 (概率论)

Popularity rank trends

Best Rank English:
#50876
11.2014
Global:
#54951
11.2014

AI rank trends

Best Rank English:
#15355
06.2009
Global:
#12089
06.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Characteristic function from Wikipedia articles about Moment-generating function, Normal distribution, Central limit theorem, Characteristic function and Sum of normally distributed random variables. Whereas reading the article about Characteristic function people most often go to Wikipedia articles on Moment-generating function, Fourier transform, Lévys continuity theorem, Normal distribution and Probability density function.

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