Accession Number : AD0736170

Title :   Decision Theory for Averaged Risk,

Corporate Author : CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Ott,David Albert

Report Date : 15 JUN 1971

Pagination or Media Count : 60

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)

Descriptors :   (*STATISTICAL ANALYSIS, *DECISION THEORY), PROBABILITY, MINIMAX TECHNIQUE, CONVEX SETS, DISTRIBUTION FUNCTIONS, RANDOM VARIABLES

Subject Categories : Statistics and Probability
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE