About: Galton–Watson process

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The Galton–Watson process is a branching stochastic process arising from Francis Galton's statistical investigation of the extinction of family names. The process models family names as patrilineal (passed from father to son), while offspring are randomly either male or female, and names become extinct if the family name line dies out (holders of the family name die without male descendants). This is an accurate description of Y chromosome transmission in genetics, and the model is thus useful for understanding human Y-chromosome DNA haplogroups. Likewise, since mitochondria are inherited only on the maternal line, the same mathematical formulation describes transmission of mitochondria. The formula is of limited usefulness in understanding actual family name distributions, since in practi

Attributes	Values
rdf:type	Thing yago:WikicatStochasticProcesses yago:Abstraction100002137 yago:Cognition100023271 yago:Concept105835747 yago:Content105809192 yago:Hypothesis105888929 yago:Idea105833840 yago:Model105890249 yago:PsychologicalFeature100023100 Election yago:StochasticProcess113561896
rdfs:label	Procés de Galton-Watson (ca) Galton-Watson-Prozess (de) Proceso de Galton-Watson (es) Processus de Galton-Watson (fr) Galton–Watson process (en) Processo de Galton–Watson (pt) Galton-Watson processen (sv)
rdfs:comment	Der Galton-Watson-Prozess, benannt nach dem britischen Naturforscher Francis Galton (1822–1911) und seinem Landsmann, dem Mathematiker (1827–1903), ist ein spezieller stochastischer Prozess, der benutzt wird, um die zahlenmäßige Entwicklung einer eingeschlechtlichen Population von sich selbst replizierenden Individuen mathematisch zu modellieren. Er wird bisweilen auch als Bienaymé-Galton-Watson-Prozess bezeichnet, zu Ehren des Franzosen Irénée-Jules Bienaymé (1796–1878), der dasselbe Problem bereits längere Zeit vorher bearbeitet hatte. (de) Le processus de Galton-Watson (ou processus de Bienaymé-Galton-Watson) est un processus stochastique permettant de décrire des dynamiques de populations. C'est un cas particulier de processus de branchements. (fr) El proceso de Galton-Watson, nombrado así en honor del naturalista británico Francis Galton y su compatriota el matemático Henry William Watson, es un proceso estocástico utilizado para modelizar el desarrollo de una población de individuos autorreplicantes. También se ha denominado a veces proceso de Bienaymé-Galton-Watson por el francés Irénée-Jules Bienaymé, que había trabajado en el mismo problema anteriormente. Tiene su origen en la investigación estocástica sobre la extinción de los apellidos. (es) En estadística matemàtica, el procés de Galton-Watson (o arbre de Galton-Watson), en honor dels matemàtics britànics Francis Galton i Henry William Watson els quals el van enunciar per primera vegada el 1874, és un procés estocàstic per modelitzar el creixement de grups d'objectes que es regeneren a si mateixos. Es pot tractar de persones, bacteris o partícules atòmiques. (ca) The Galton–Watson process is a branching stochastic process arising from Francis Galton's statistical investigation of the extinction of family names. The process models family names as patrilineal (passed from father to son), while offspring are randomly either male or female, and names become extinct if the family name line dies out (holders of the family name die without male descendants). This is an accurate description of Y chromosome transmission in genetics, and the model is thus useful for understanding human Y-chromosome DNA haplogroups. Likewise, since mitochondria are inherited only on the maternal line, the same mathematical formulation describes transmission of mitochondria. The formula is of limited usefulness in understanding actual family name distributions, since in practi (en) O processo de Galton-Watson é um processo estocástico de ramificação que surge da investigação estatística de Francis Galton sobre a extinção de sobrenomes. O processo modela os sobrenomes como patrilineares (passados do pai para os filhos), enquanto os descendentes podem ser tanto do sexo masculino, quanto do feminino, sendo que os sobrenomes se extinguem quando a linhagem do sobrenome morre (detentores do sobrenome morrem sem descendentes do sexo masculino). Esta é uma descrição precisa da transmissão do cromossomo Y em genética, o que torna este modelo útil para compreender os haplogrupos do cromossomo Y humano e também para entender outros processos descritos abaixo, mas sua aplicação à extinção real de sobrenomes é falha. Na prática, os sobrenomes podem mudar por muitas outras razões (pt) Galton-Watson-processen är en stokastisk förgreningsprocesses som ursprungligen användes av Francis Galton och under den andra halvan av 1800-talet för att undersöka hur familjenamn sprider sig genom generationer, och med vilka sannolikheter olika efternamn eventuellt dör ut. I modellen så sprids efternamn från fader till son, där spridningen beror på hur många söner mannen får under en generation. Om mannen inte får några söner alls så har efternamnet dött ut. (sv)
foaf:depiction
dcterms:subject	Genetic genealogy Genetics in the United Kingdom Human population genetics Stochastic processes
Wikipage page ID	350596 (xsd:integer)
Wikipage revision ID	1057317120 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability distribution Epidemic Mutant Net reproduction rate Thai name Almost surely Human Y-chromosome DNA haplogroup Patrilineal Pedigree collapse Resource-dependent branching process Dutch name Genetic genealogy Genetics in the United Kingdom Meiji restoration Branching process Mitochondria Naming taboo Aristocracy (class) Human population genetics Li (surname 李) Zhang (surname) Journal of Applied Probability Population Wang (surname) Ipso facto Family name Francis Galton Journal of the Royal Anthropological Institute Random variable Han Chinese Irénée-Jules Bienaymé Stochastic processes Chinese surname Henry William Watson Y chromosome Poisson distribution Napoleonic Wars Organism Sexual orientation Nuclear chain reaction Victorian era Extinction Stochastic process Vietnamese name Japanese names Nguyễn Statistical independence Human Y-chromosome DNA haplogroups Independent and identically-distributed random variables Probability generating function F. Thomas Bruss dbr:C_C_Heyde dbr:E_Seneta dbr:The_Educational_Times
Link from a Wikipage to an external page	https://web.archive.org/web/20040401131411/http:/www-users.york.ac.uk/~pml1/stats/gwproc.ps https://www.uni-muenster.de/Stochastik/lehre/WS1011/SpezielleStochastischeProzesse/Ch_1.pdf
sameAs	Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process Galton–Watson process

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