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I am searching for a statistical test that tells wether a finite-alphabet time series is a Markov process of a given order or not.

user93236
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  • just for clarification (I have no answer anyway): for "order" of the process you mean the number of states and not the number of previous states in the process's memory, right? – mau Sep 05 '13 at 11:44
  • I actually meant the memory of the process. – user93236 Sep 05 '13 at 12:56
  • but in this case every (finite) sequence may be seen as the result of a suitable Markow process, with its order equal to the length of the sequence :-) – mau Sep 05 '13 at 13:24
  • Assume that you fix (or upper-bound) the order beforehand. – user93236 Sep 05 '13 at 13:42

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