Open AccessLIMITING THEOREMS FOR SOME GENERALIZED BUSH‐MOSTELLER MODELS 1
Author(s) -
Wolff Hans
Publication year - 1970
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1970.tb00418.x
Subject(s) - limiting , mathematics , mathematical economics , mechanical engineering , engineering
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.