Decision Theory for Averaged Risk,

Abstract

Let Phi denote a decision rule with risk R (theta, Phi) depending on a parameter theta. A new risk function called the 'averaged risk' is obtained by averaging R(theta, Phi) with respect to a probability measure G sub phi on the parameter space. The class of admissible, Bayes and minimax rules with respect to the new risk function is considered and compared with the corresponding class of rules with respect to R (theta, Phi). (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1971
Accession Number
AD0736170

Entities

People

  • David Albert Ott

Organizations

  • Clemson University

Tags

DTIC Thesaurus Topics

  • Decision Theory
  • Probability

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.

Technology Areas

  • Space