SEQUENTIAL TESTING WHEN ONLY THE ALTERNATIVE HYPOTHESIS IS COMPOSITE.

Abstract

This thesis is a discussion of sequential analysis when the alternative hypothesis is composite. Sequential testing with composite alternatives is introduced through decision theory and sequential tests of simple hypotheses. The weighted average and maximum methods are presented as solutions to the problem of testing with composite alternatives. The existence of optimum weight functions in some special but important cases is shown. A procedure is demonstrated for constructing a sequential test when one critical point in the statement of the alternative hypothesis is given. The procedure is illustrated by two examples involving one- and two-parameter distributions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0622029

Entities

People

  • Eugene Simatis

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Composite Materials
  • Data Science
  • Decision Theory
  • Hypotheses
  • Information Science
  • Sequential Analysis
  • Theses

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Operations Research
  • Structural Health Monitoring of Composite Structures.