Continuous-time Markov chain

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Continuous-time Markov chain

Quality:

Continuous-time Markov chain - stochastic process that satisfies the Markov property (sometimes characterized as "memorylessness"). Article “Continuous-time Markov chain” in English Wikipedia has 44.1 points for quality (as of July 1, 2025). The article contains 19 references and 13 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.32 points.

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 “Continuous-time Markov chain” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Continuous-time Markov chain”, its content was written by 71 registered users of English Wikipedia and edited by 108 registered Wikipedia users in all languages.

The article is cited 107 times in English Wikipedia and cited 149 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #27225 in June 2013
  • Global: #102634 in June 2013

The highest popularity rank from 2008:

  • Local (English): #126439 in April 2015
  • Global: #215454 in April 2015

There are 7 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)
Continuous-time Markov chain
44.0784
2Catalan (ca)
Cadena de Màrkov de temps continu
18.9549
3French (fr)
Processus de Markov à temps continu
15.0425
4Swedish (sv)
Markovprocess
14.4851
5Ukrainian (uk)
Ланцюги Маркова з неперервним часом
5.0324
6Chinese (zh)
连续时间马尔可夫链
2.2029
7Bulgarian (bg)
Марковски процес в непрекъснато време
1.2913
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 "Continuous-time Markov chain" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Continuous-time Markov chain
688 651
2French (fr)
Processus de Markov à temps continu
35 716
3Swedish (sv)
Markovprocess
14 113
4Ukrainian (uk)
Ланцюги Маркова з неперервним часом
6 965
5Bulgarian (bg)
Марковски процес в непрекъснато време
4 125
6Chinese (zh)
连续时间马尔可夫链
3 611
7Catalan (ca)
Cadena de Màrkov de temps continu
112
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 "Continuous-time Markov chain" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Continuous-time Markov chain
3 233
2French (fr)
Processus de Markov à temps continu
180
3Chinese (zh)
连续时间马尔可夫链
99
4Swedish (sv)
Markovprocess
34
5Ukrainian (uk)
Ланцюги Маркова з неперервним часом
12
6Bulgarian (bg)
Марковски процес в непрекъснато време
9
7Catalan (ca)
Cadena de Màrkov de temps continu
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 "Continuous-time Markov chain" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Continuous-time Markov chain
71
2French (fr)
Processus de Markov à temps continu
16
3Swedish (sv)
Markovprocess
9
4Bulgarian (bg)
Марковски процес в непрекъснато време
8
5Ukrainian (uk)
Ланцюги Маркова з неперервним часом
2
6Catalan (ca)
Cadena de Màrkov de temps continu
1
7Chinese (zh)
连续时间马尔可夫链
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 "Continuous-time Markov chain" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Continuous-time Markov chain
1
2Bulgarian (bg)
Марковски процес в непрекъснато време
0
3Catalan (ca)
Cadena de Màrkov de temps continu
0
4French (fr)
Processus de Markov à temps continu
0
5Swedish (sv)
Markovprocess
0
6Ukrainian (uk)
Ланцюги Маркова з неперервним часом
0
7Chinese (zh)
连续时间马尔可夫链
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 "Continuous-time Markov chain" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Continuous-time Markov chain
107
2French (fr)
Processus de Markov à temps continu
19
3Swedish (sv)
Markovprocess
7
4Bulgarian (bg)
Марковски процес в непрекъснато време
6
5Catalan (ca)
Cadena de Màrkov de temps continu
4
6Ukrainian (uk)
Ланцюги Маркова з неперервним часом
3
7Chinese (zh)
连续时间马尔可夫链
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
bgBulgarian
Марковски процес в непрекъснато време
caCatalan
Cadena de Màrkov de temps continu
enEnglish
Continuous-time Markov chain
frFrench
Processus de Markov à temps continu
svSwedish
Markovprocess
ukUkrainian
Ланцюги Маркова з неперервним часом
zhChinese
连续时间马尔可夫链

Popularity rank trends

Best Rank English:
#126439
04.2015
Global:
#215454
04.2015

AI rank trends

Best Rank English:
#27225
06.2013
Global:
#102634
06.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Continuous-time Markov chain from Wikipedia articles about Markov chain, Stationary distribution, Jump process, Transition rate matrix and Birth–death process. Whereas reading the article about Continuous-time Markov chain people most often go to Wikipedia articles on Kolmogorov equations, Exponential distribution, Discrete-time Markov chain, Transition rate matrix and Stochastic process.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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