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mathematical technique > probability theory > stochastic process > branching process
mathematical technique > mathematical model > stochastic process > branching process

Terme préférentiel

branching process  

Définition(s)

  • In probability theory, a branching process is a type of mathematical object known as a stochastic process, which consists of collections of random variables. The random variables of a stochastic process are indexed by the natural numbers. The original purpose of branching processes was to serve as a mathematical model of a population in which each individual in generation n produces some random number of individuals in generation n + 1, according, in the simplest case, to a fixed probability distribution that does not vary from individual to individual. Branching processes are used to model reproduction; for example, the individuals might correspond to bacteria, each of which generates 0, 1, or 2 offspring with some probability in a single time unit. Branching processes can also be used to model other systems with similar dynamics, e.g., the spread of surnames in genealogy or the propagation of neutrons in a nuclear reactor. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Branching_process)

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RDF/XML TURTLE JSON-LD Dernière modif. 24/04/2023