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Markov decision processes with unknown states are used in order to re\u03c1resent the maintenance \u03c1roblem. In the previous research a fixed profit is considered. In general the profit depends on economic states. In this research we propose \u03b1 new maintenance method based on statistical decision theory. The pro\u03c1osed maintenance method maximizes the total reward of the maintenance problem considering profits and economic states with reference to a Bayes criterion. We show the effectiveness of the method by some numerical calculation examples. 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