An Error Analysis Technique for Statistical Hypothesis Testing. Generation of Jointly Distributed Random Variates,

Abstract

As a part of the study of electromagnetic scattering from rough terrain, various geographical sites were characterized by applying statistical analysis techniques to digitized terrain data bases. One aspect was the use of decision theory formulation to assign an appropriate distribution function to the surface height variations in the regions. This report discusses the decision processes used and the errors to be expected. There are two main themes: assessment of statistical hypothesis testing and application of a numerical technique to determine the errors inherent in the decisions. There are a number of assumptions and constraints that affect the form of the hypothesis test developed for the terrain study and these will be considered. The numerical technique consists in generating jointly distributed random variates in a Monte Carlo type computer procedure. Its application to the specification of decision errors will be described. The formulation allows extension of standard analytic error analysis techniques to cases where the analysis would be intractable. Results are presented and the agreement with analysis for various cases is shown. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA103956

Entities

People

  • John F. Lennon
  • Robert J. Papa

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Databases
  • Distribution Functions
  • Error Analysis
  • Gaussian Distributions
  • Information Science
  • Numerical Integration
  • Probability
  • Probability Density Functions
  • Random Variables
  • Standards
  • Statistical Analysis
  • Statistical Inference
  • Statistical Processes
  • Stochastic Processes

Readers

  • Geodesy
  • Statistical inference.
  • Systems Analysis and Design