G-Ordered Functions, with Applications in Statistics. II. Applications.

Abstract

This is Part II of a two-part paper which continues the unification of stochastic comparisons. Many commonly used multivariate densities are shown to be G-ordered and, in fact, each density may be used as the kernel function in the integral transform for the preservation of G-monotonicity. We show that any elliptically-contoured density is G-ordered. An application of G-ordered functions to certain well known tests of a multivariate hypothesis is presented. Sufficient conditions on the distribution of the observations are determined so that the tests have G-monotone increasing power functions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA049316

Entities

People

  • Frank Proschan
  • J. C. Conlon
  • Jayaram Sethuraman
  • Ross C. C. Leon

Organizations

  • Florida State University

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Analysis Of Variance
  • Environmental Health
  • Hypotheses
  • Identities
  • Integral Transforms
  • Integrals
  • Kernel Functions
  • New York
  • Numbers
  • Observation
  • Permutations
  • Random Variables
  • Reflection
  • Scientific Research
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.