A Note on Deriving a Result in Decision Theory

Abstract

This note provides an alternate derivation of a well-known problem in decision theory, which deals with finding the minimum of a certain expectation, i.e., E/ X-c/. Textbooks generally present this problem as an exercise to verify that the median does, in fact, yield a minimum. The derivation presented here directly finds the minimum, and yields asymptotic properties of the expectation. Keywords: random variables; mathematical statistics; value.

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Document Details

Document Type
Technical Report
Publication Date
Jun 09, 1988
Accession Number
ADA196230

Entities

People

  • Allen R Miller
  • Martin Feuerman

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Classification
  • Data Science
  • Decision Theory
  • Information Science
  • Military Research
  • Monitoring
  • New Jersey
  • Random Variables
  • Security
  • Statistical Decision Theory
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design