Accession Number:

AD0737250

Title:

Mathematical Models for Statistical Decision Theory

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1971-12-01

Pagination or Media Count:

31.0

Abstract:

Three methods of defining optimality of statistical decision rules are introduced. The first uses ideas of approximation theory by defining the optimal decision as that element of the risk set which best approximates an ideal rule. The second optimality principle defines optimality in terms of minimizing functionals. The third method is the axiomatization of optimality in statistical decision theory.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE