A Modified Kolmogorov-Smirnov Test for the Gamma and Weibull Distribution with Unknown Location and Scale Parameters.

Abstract

The Kolmogorov-Smirnov tables for the Weibull and Gamma distribution were generated in this thesis. These tables are used when testing whether a set of observations are from a Weibull (Gamma) distribution in which the location and scale parameters must be estimated from the sample. A power investigation of the test against some selected distributions using Monte Carlo techniques was conducted. This procedure shows that the test is reasonably powerful for a number of alternative distributions. A relationship between the critical values and the shape parameters was investigated for the Weibull and Gamma distributions. No apparent relationship was found for the Gamma distribution. In contrast, an approximate log-linear relationship was found for the Weibull when the shape parameter is between one and four. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA094732

Entities

People

  • Ramon Cortes

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Contrast
  • Data Science
  • Distribution Functions
  • Engines
  • Information Science
  • Monte Carlo Method
  • Normal Distribution
  • Observation
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.