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arxiv: 1406.6670 · v1 · pith:QB427JKJnew · submitted 2014-06-25 · 🧮 math.ST · math.PR· stat.ML· stat.TH

Learning the ergodic decomposition

classification 🧮 math.ST math.PRstat.MLstat.TH
keywords processagentbayesianbecomedecompositionempiricalergodicfrequencies
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A Bayesian agent learns about the structure of a stationary process from ob- serving past outcomes. We prove that his predictions about the near future become ap- proximately those he would have made if he knew the long run empirical frequencies of the process.

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