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Limiting Theorems for Some Generalized Bush-Mosteller Models

Author(s):
Wolff, Hans
Publication Year:
1970
Report Number:
RB-70-23
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
18
Subject/Key Words:
Learning Theories, Models, Probability, Statistics, Time Factors (Learning)

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.

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