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We introduce a new interpretation of a phenomenon followed by certain subsequent learning experiments such as shift problems in discrimination learning, and show some limit theorems representing the r...ightness of such experiments on the basis of our interpretation. In this paper we treat a regular Markov chain $ { X_n }_{n geqq 0} $ as a mathematical model for subjects' behavior in the first phase and a family of stopping times $ { N_g(d) }_{d > 0} $ for selecting the time when we change the first phase into the second phase, and show that the asymptotic distribution of $ { f(X_{Ng}(d)) }_{d > 0} $ is the same as the asymptotic distribution of $ { f(X_n) }_{n geqq 0} $ under some conditions.show more
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p115