Upper and Lower Risks and Minimax Procedures

Abstract

The essential goal of R. A. Fisher's fiducial argument was to make posterior inferences about unknown parameters without resorting to a prior distribution. Over the past decade, there have been two major attempts at developing a statistical theory that would accomplish this convincingly. One of these efforts has been described in a series of publications by Fraser, the other in papers by Dempster. From the early work [4], [11], [12], [13], which was tied to a fiducial viewpoint, both authors developed statistical theories that were distinct from the fiducial argument, yet achieved the goal of non-Bayesian posterior inference [5], [6], [7], [8], [14], [15], [16].

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD1022111

Entities

People

  • R. J. Beran

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Bayesian Networks
  • Decision Theory
  • Distribution Functions
  • Frequency
  • Hypotheses
  • Inequalities
  • Integrals
  • Models
  • Observation
  • Probability
  • Random Variables
  • Sequences
  • Theorems

Readers

  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference