A New Goodness of Fit Test for the Uniform Distribution with Unspecified Parameters.

Abstract

Separate techniques of interpolation, reflection, and parameter estimation are combined to develop a new goodness of fit test for the uniform distribution. The Kolmogorov-Smirnov, Anderson-Darling, and Cramer-Von Mises statistics are used in the generation of critical value tables of sample sizes from 3 to 50. The methods for estimating parameters are the Maximum Likelihood and the Best Linear Unbiased Estimators. Separate tables for each are presented. These tables are built with and without employing the reflection technique. The reflection technique is one in which the data points are reflected about the sample mean to double the size of the sample set. With these tables of critical values, a power study is done to test the power of the three statistics with the reflection procedure versus the same statistics without the reflection procedure.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA124835

Entities

People

  • Larry B. Woodbury

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Data Science
  • Demographic Cohorts
  • Estimators
  • Goodness Of Fit Tests
  • Information Science
  • Interpolation
  • Mathematics
  • Normal Distribution
  • Probability
  • Probability Distributions
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Tests
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Statistical inference.