Ordering of Concomitants of Order Statistics, with Applications.

Abstract

Let (Xi,Yi) be in independent rv's from some bivariate distribution. Let X(r:n) denote the rth ordered X-variate, and Y(r:n) the Y-variate paired with X(r:n). The distribution of R(r,n), the rank of Y(r:n), is applied to a matching problem. Also, it is shown that pi(1n) > pi(1, n-1) > ... > pi(11) when sampling from Gumbel's bivariate exponential distribution, where pi(rs) = P(R(r,n) = s). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA067847

Entities

People

  • Donna Lucas

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Military Research
  • New York
  • North Carolina
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Sampling
  • Statistical Samples
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.