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3 definitions 
 for Markov chain
From The Collaborative International Dictionary of English v.0.48 :

  Markov chain \Mark"ov chain\, n. [after A. A. Markov, Russian
     mathematician, b. 1856, d. 1922.] (Statistics)
     A random process (Markov process) in which the probabilities
     of discrete states in a series depend only on the properties
     of the immediately preceding state or the next preceeding
     state, independent of the path by which the preceding state
     was reached. It differs from the more general Markov process
     in that the states of a Markov chain are discrete rather than
     continuous. Certain physical processes, such as diffusion of
     a molecule in a fluid, are modelled as a Markov chain. See
     also random walk. [Also spelled Markoff chain.]
     [PJC]

From WordNet (r) 2.0 :

  Markov chain
       n : a Markov process for which the parameter is discrete time
           values [syn: Markoff chain]

From The Free On-line Dictionary of Computing (27 SEP 03) :

  Markov chain
       
           (Named after Andrei Markov) A model of
          sequences of events where the probability of an event
          occurring depends upon the fact that a preceding event
          occurred.
       
          A Markov process is governed by a Markov chain.
       
          In simulation, the principle of the Markov chain is applied
          to the selection of samples from a probability density
          function to be applied to the model.  Simscript II.5 uses
          this approach for some modelling functions.
       
          [Better explanation?]
       
          (1995-02-23)
       
       


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