Accession Number:

AD0654154

Title:

INEQUALITIES AND TOLERANCE LIMITS FOR S-ORDERED DISTRIBUTIONS

Descriptive Note:

Research rept.

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

Report Date:

1966-11-01

Pagination or Media Count:

61.0

Abstract:

Define F subscript s G F subscript r G if F and G have the same median, say the origin and G superscript -1 Fx is concave-convex about the origin G superscript -1 Fxx is increasing decreasing in x positive negative. Conservative tolerance limits are derived for distributions which are s-ordered with respect to the Laplace distribution. These are especially reasonable for mensuration data. In addition, many inequalities concerning combinations of order statistics are obtained. These results are useful in robustness studies of tolerance limits, estimates and statistical tests derived for specified distributions such as the normal distribution. Some examples are given.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE