BAYES ESTIMATION FOR SOME STIMULUS SAMPLING MODELS.

Abstract

In this paper, the author derives the joint Bayes estimators of the three structural parameters of the single-element stimulus-sampling model of learning when conjugate prior beta distributions over these parameters are assumed. These estimators are obtained for finite sample sequences in contrast to the other available estimation procedures for this model which are based on infinite sample sequences. Extension of the Bayes estimation procedures to a two-element stimulussampling model involving six structural parameters is also carried out. The completeness of the class of Bayes estimators for these two models is established. Computational problems in obtaining values of the Bayes estimates are discussed. Although the estimators are functions which involve ratios of products and sums of many terms involving complete beta functions suitable approximate evaluations of the estimators can easily be carried out on a large computer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 22, 1965
Accession Number
AD0615119

Entities

People

  • Robert E. Dear

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Computers
  • Contrast
  • Estimators
  • Learning
  • Mathematics
  • Mental Processes
  • Psychological Phenomena And Processes
  • Sampling
  • Sequences
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.