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Finite-sample exact tests for linear regressions with bounded dependent variables

    Olivier Gossner and Karl Schlag
    Journal of Econometrics, 177: 75-94, 2013

    Abstract: This paper studies the interaction of automata of size m. We characterise statistical properties satisfied by random plays generated by a correlated pair of automata with m states each. We show that in some respect the pair of automata can be identified with a more complex automaton of size comparable to m log m. We investigate implications of these results on the correlated min–max value of repeated games played by automata.