Accession Number:

AD0738857

Title:

Further Results for Goodness-of-Fit Statistics with Unknown Parameters.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

Report Date:

1971-10-04

Pagination or Media Count:

36.0

Abstract:

The report revises and extends the report Asymptotic results for goodness-of-fit statistics when parameters must be estimated Stephens, 1970 new theoretical and numerical results are given. In particular the weights are calculated when asymptotic distributions of W squared, U squared, and A statistics associated with Cramer-von Mises, Watson and Anderson-Darling are expressed as weighted sums of chi square sub 1 variables. These lead ultimately to the provision of percentage points for W squared, U squared, and A in tests for normality and exponentiality, when parameters must be estimated. The previous report gave only means and variances of asymptotic distributions some of these are repeated for completeness. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE