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- Foster's_theorem abstract "In probability theory, Foster's theorem, named after F. G. Foster, is used to draw conclusions about the positive recurrence of Markov chains with countable state spaces. It uses the fact that positive recurrent Markov chains exhibit a notion of "Lyapunov stability" in terms of returning to any state while starting from it within a finite time interval.Consider an aperiodic, irreducible discrete-time Markov chain on a countable state space having a transition probability matrix . Foster's theorem states that the Markov chain is positive recurrent if and only if there exists a Lyapunov function , such that".
- Foster's_theorem wikiPageID "20119255".
- Foster's_theorem wikiPageRevisionID "558341022".
- Foster's_theorem hasPhotoCollection Foster's_theorem.
- Foster's_theorem subject Category:Statistical_theorems.
- Foster's_theorem subject Category:Stochastic_processes.
- Foster's_theorem type Abstraction100002137.
- Foster's_theorem type Cognition100023271.
- Foster's_theorem type Communication100033020.
- Foster's_theorem type Concept105835747.
- Foster's_theorem type Content105809192.
- Foster's_theorem type Hypothesis105888929.
- Foster's_theorem type Idea105833840.
- Foster's_theorem type Message106598915.
- Foster's_theorem type Model105890249.
- Foster's_theorem type Proposition106750804.
- Foster's_theorem type PsychologicalFeature100023100.
- Foster's_theorem type Statement106722453.
- Foster's_theorem type StatisticalTheorems.
- Foster's_theorem type StochasticProcess113561896.
- Foster's_theorem type StochasticProcesses.
- Foster's_theorem type Theorem106752293.
- Foster's_theorem comment "In probability theory, Foster's theorem, named after F. G. Foster, is used to draw conclusions about the positive recurrence of Markov chains with countable state spaces. It uses the fact that positive recurrent Markov chains exhibit a notion of "Lyapunov stability" in terms of returning to any state while starting from it within a finite time interval.Consider an aperiodic, irreducible discrete-time Markov chain on a countable state space having a transition probability matrix .".
- Foster's_theorem label "Foster's theorem".
- Foster's_theorem sameAs m.04y7l1p.
- Foster's_theorem sameAs Q5473576.
- Foster's_theorem sameAs Q5473576.
- Foster's_theorem sameAs Foster's_theorem.
- Foster's_theorem wasDerivedFrom Foster's_theorem?oldid=558341022.
- Foster's_theorem isPrimaryTopicOf Foster's_theorem.