Stable Decision Problems.

Abstract

A particular kind of continuity is studied, a kind judged important especially as a prologue to attempting elicitation of prior distributions and utility functions. There are other kinds of continuity that are alternatives to those chosen, and which also deserve study. Stability, as defined in this paper, offers the beginning of a Bayesian approach to robustness. On the real line, squared error loss is never stable, while absolute error is strongly stable for all opinions H. While the approach in this paper is more mathematical than some other approaches to robustness, which may be a disadvantage, it has the advantage of starting from a clear philosophical foundation, namely personalistic Bayesianism.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA046701

Entities

People

  • David T. Chuang
  • Joseph B. Kadane

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Bayesian Networks
  • Composite Materials
  • Continuity
  • Decision Theory
  • Distribution Functions
  • Probability
  • Random Variables
  • Sequences
  • Statistics
  • Theorems
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Political Violence and Terrorism Studies.
  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

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