TESTING STATISTICAL HYPOTHESES. THE COMPOUND APPROACH

Abstract

A summary is made on the testing of a hypothesis in statistical decision theory. The basic problem considered is that there are two possible states of nature, symbolized by a parameter theta which can assume only the values 0 and 1. The value of theta is un nown, but an observable random variable x with values in some space E has a probability distribution P sub theta which depends on theta in a known way.

Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1961
Accession Number
AD0263785

Entities

People

  • Ester Samuel
  • Herbert Robbins

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Data Science
  • Decision Theory
  • Hypotheses
  • Information Science
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Decision Theory

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • Space