Two-Stage Bayesian Designs for Estimating the Difference between the Means of Two Normal Distributions.

Abstract

The problem investigated in the paper is that of estimating, in a Bayesian framework, the difference between the means of two normal distributions under the restriction that the total sample size be fixed beforehand. Two-stage procedures for doing this are examined. In terms of the relevant prior parameters, the optimal second stage allocation is given and formulae are presented for determining the optimal first stage sample size. Some numerical illustrations are given along with a comparison of the two-stage and one-stage procedures. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0747249

Entities

People

  • Thomas A. Kelley

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Bayesian Networks
  • Distribution Functions
  • Functions (Mathematics)
  • Mathematical Models
  • Mathematics
  • Normal Distribution

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms