Two Concepts of Positive Dependence, with Applications in Multivariate Analysis.

Abstract

We develop properties and theory for positive orthant dependence, a multivariate extension of Lehmann's positive quadrant dependence, and right tail increasing in sequence dependence, a multivariate extension of Esary and Proschan's bivariate right tail increasing dependence. Applications are then obtained in the form of inequalities and monotonicity in a wide variety of multivariate statistical problems, including MANOVA, contingency tables, dependence measurement, competing risk models, reliability of series systems, and distributions theory. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA067545

Entities

People

  • Abdul-hadi N. Ahmed
  • Frank Proschan
  • Naftali A. Langberg
  • Ramon V. Leon

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Analysis Of Variance
  • Covariance
  • Data Science
  • Distribution Functions
  • Distribution Theory
  • Information Science
  • Mixtures
  • Multivariate Analysis
  • Numbers
  • Probability
  • Random Variables
  • Reliability
  • Sampling
  • Statistics
  • Survival
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Mathematical Modeling and Probability Theory.