The purpose of this paper is to study the asymptotic behavior of a large class of stochastic processes which have been used as models of learning experimeats. We will do this by applying a theory of chains of infinite order, or "chaines a liaisons completes." Namely, we shall employ certain limit theorems for stochastic processes whose transition probabilities depend on the entire past history of the process, but only slightly on the remote past.nA self-contained discussion of these and some additional results is the content of Section 2.
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