Accession Number:

ADA046630

Title:

On Some Goodness of Fit Tests for the Weibull Distribution with Estimated Parameters.

Descriptive Note:

Scientific rept.,

Corporate Author:

GEORGE WASHINGTON UNIV WASHINGTON D C INST FOR MANAGEMENT SCIENCE AND ENGINEERING

Report Date:

1977-10-14

Pagination or Media Count:

22.0

Abstract:

This note considers some test statistics based on the sample distribution function for testing the null hypothesis that a random sample belongs to a Weibull distribution with unknown scale and shape parameters. A foundation for testing such a hypothesis is provided by the fact that the logarithm of a Weibull random variable has an extreme value distribution with a location and a scale parameter, and by results which pertain to the weak convergence of an associated empirical stochastic process, under the null hypothesis. The asymptotic distribution of the empirical process serves as a basis for Monte Carlo studies for determining the appropriate critical points of the test statistics.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE