Accession Number:

ADA051654

Title:

G-Ordered Functions in Statistics.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Report Date:

1977-06-01

Pagination or Media Count:

26.0

Abstract:

This paper generalizes and extends work for functions decreasing in transposition DT. It introduces reflection ordering and G-ordered functions and develops many preservation properties for these functions. G-ordered functions contain, as a special case, G-monotone functions and a preservation theorem for G-monotone functions is shown under an integral transform. The results are extended in the area of stochastic comparisons to a larger class of probability distributions.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE