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Branching process

In probability theory, a branching process is a type of mathematical object known as a stochastic process, which consists of collections of random variables indexed by some set, usually natural or non-negative real numbers. The original purpose of branching processes was to serve as a mathematical model of a population in which each individual in…

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Overview

Probability theoryStochastic processRandom variablesProbability distributionSurnames
14 related topics

Mathematical formulation

Independent and identically distributed random variablesRandom walkIid
3 related topics

Extinction problem for a branching process

Extinction probabilityProbability generating functions
2 related topics

Multitype branching processes

Perron-Frobenius theoremODE
2 related topics

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Overview

Mathematical formulation

Extinction problem for a branching process

Multitype branching processes

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Branching process

Nodes26
Edges25
Triples38
Avg. degree1.92
Density0.076923
Components1

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Branching process

Top relations

related to References · 12
Branching process → Clarendon Press, Grimmett, Grinstead, Introduction, Oxford, Probability, Probability Archived, Random Processes, Section, Snell, Stirzaker, Wayback Machine
related to Mathematical formulation · 7
Branching process → Discrete, Galton, Let Zn, The, Watson, Xn, Zn
related to Multitype branching processes · 7
Branching process → After, CSC, CSCs, For, In, NSCC, NSCCs
related to Law of large numbers for multitype branching processes · 4
Branching process → For, ODE, Perron-Frobenius, This
see also · 4
Branching process → Duerinckx, Galton, Superprocess, Watson
related to Continuous-time branching processes · 3
Branching process → In, In Markov, The
is a · 1
Branching process → type of mathematical object known as a stochastic process

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Important terminology

probability branching extinction processes process ultimate number individual random generation individuals one offspring time numbers model children since population zero

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Branching processis atype of mathematical object known as a stochastic process0.90text
Branching processrelated to Continuous-time branching processesIn0.60section
Branching processrelated to Continuous-time branching processesThe0.60section
Branching processrelated to Continuous-time branching processesIn Markov0.60section
Branching processrelated to Law of large numbers for multitype branching processesFor0.60section
Branching processrelated to Law of large numbers for multitype branching processesPerron-Frobenius0.60section
Branching processrelated to Law of large numbers for multitype branching processesThis0.60section
Branching processrelated to Law of large numbers for multitype branching processesODE0.60section
Branching processrelated to Mathematical formulationDiscrete0.60section
Branching processrelated to Mathematical formulationThe0.60section
Branching processrelated to Mathematical formulationGalton0.60section
Branching processrelated to Mathematical formulationWatson0.60section

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