LIMITING THEOREMS FOR SOME GENERALIZED BUSH‐MOSTELLER MODELS1
Hans W. Wolff · ETS Research Bulletin Series · 1970
ABSTRACT The learning model with experimenter‐controlled events defined by Bush and Mosteller is generalized to a model with time‐dependent learning parameters and with time‐dependent probabilities for the underlying events. The main result is a limiting theorem which in part belongs to the laws of large numbers and to the theory of stochastic approximation.