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Line 6: ==Example== Consider for example a sequence of [[random variable]]s, each of which takes a value from the ternary [[alphabet]] {{math\|{{mset\|''a'', ''b'', ''c''}}}}. Specifically, consider the string ~~{{math\|''aaabcaaabcaaabcaaabc…aaabc''}}~~ constructed from infinite concatenations of the sub-string {{math\|''aaabc''}}: {{math\|''aaabcaaabcaaabcaaabc…aaabc''}}. The VOM model of maximal order 2 can approximate the above string using ''only'' the following five [[conditional probability]] components: {{math\|Pr(''a'' {{!}} ''aa'') {{=}} 0.5}}, {{math\|Pr(''b'' {{!}} ''aa'') {{=}} 0.5}}, {{math\|Pr(''c'' {{!}} ''b'') {{=}} 1.0}}, {{math\|Pr(''a'' {{!}} ''c''){{=}} 1.0}}, {{math\|Pr(''a'' {{!}} ''ca'') {{=}} 1.0}}.

Variable-order Markov model: Difference between revisions