KnowraMarkov chainLinked fromLinked fromThe 31 pages that link to Markov chain, each with the reason it gives.All 31Broader topic 2Related 19Narrower topic 4Compared with 6Independent and identically distributed random variablesCompared with: Successive states are generally dependent, unlike members of an i.i.d. sequence.Invertible matrixCompared with: Its transition matrix need not be invertible, showing that valid matrix dynamics may lose information.Bernoulli trialCompared with: State-dependent probabilities and dependence distinguish it from repeated independent Bernoulli trials.MartingaleCompared with: The Markov property restricts dependence on past states; the martingale property restricts conditional means.Transition functionCompared with: It replaces a fixed next-state rule with probabilities over possible next states.De Finetti's theoremCompared with: Markov dependence generally differs from the conditional independence structure in the representation.