A two-state, discrete-time Markov chain

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorBoucher, Chris-
Data de aceite: dc.date.accessioned2019-08-21T18:27:13Z-
Data de disponibilização: dc.date.available2019-08-21T18:27:13Z-
Data de envio: dc.date.issued2016-10-26-
Data de envio: dc.date.issued2016-10-26-
Fonte completa do material: dc.identifierhttp://acervodigital.unesp.br/handle/unesp/366049-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/23563-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/472255-
Descrição: dc.descriptionEducação Superior::Ciências Exatas e da Terra::Matemática-
Descrição: dc.descriptionConsider a system that is always in one of two states, 1 or 2. Every time a clock ticks, the system updates itself according to a 2×2 matrix of transition probabilities, the (i,j)th entry of which gives the probability that the system moves from state i to state j at any clock tick. A two-state Markov chain is a system like this, in which the next state depends only on the current state and not on previous states. Powers of the transition matrix approach a matrix with constant columns as the power increases. The number to which entries in the ith column converge is the asymptotic fraction of time the system spends in state i. The state of the system at the time step given by the time slider is the colored circle. Transition probabilities are shown on the left diagram and can be changed using the new transition matrix slider. State 1 is colored yellow for "sunny" and state 2 is colored gray for "not sunny" in deference to the classic two-state Markov chain example. The number of visits to each state over the number of time steps given by the time slider is illustrated by the histogram. Powers of the transition matrix are shown at the bottom-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationATwoStateDiscreteTimeMarkovChain.nbp-
Direitos: dc.rightsDemonstration freeware using MathematicaPlayer-
Palavras-chave: dc.subjectProbability-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada-
Título: dc.titleA two-state, discrete-time Markov chain-
Tipo de arquivo: dc.typetexto-
Aparece nas coleções:Repositório Institucional - Acervo Digital Unesp

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