Modified Goodness-of-Fit Tests for the Weibull Distribution

Abstract

This research will produce a new modified Anderson-Darling and W* goodness of fit statistics for the three parameter Weibull Distribution when all parameters unknown and estimated by Maximum Likelihood-Minimum Distance combination. The critical values for each statistic, sample size and a levels 0. 20, 0.15, 0.10, 0.05 and 0.01 are produced. The Monte Carlo Simulation used 5000 repetitions for sample sizes of 10, 15, 20, 25, 30, 40, and 50 with the Weibull shape equals to 3, scale equals to 4 and location equals to 10. The power study is made for the same sizes as above with the hypothesized Weibull Distribution against 8 other distributions....Weibull distribution, Goodness-of-fitness, Monte Carlo simulation, Minimum distance, Maximum likelihood.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1993
Accession Number
ADA262552

Entities

People

  • Erol Yucel

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computer Programs
  • Data Science
  • Data Sets
  • Distribution Functions
  • Estimators
  • Goodness Of Fit Tests
  • Information Science
  • Monte Carlo Method
  • Normal Distribution
  • Probability Distributions
  • Random Number Generators
  • Random Variables
  • Simulations
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.