Some Inequalities for Certain Functions of Order Statistics from IFR Distributions.

Abstract

In the paper the authors consider functions which are the sum of the k largest order statistics in a sample of size n from a continuous distribution F , minus nh , where h is a specified constant. If F is an exponential distribution, then for a specified value of k the authors obtain that value of n which maximizes the expected value of the function defined above. If F is IFR then the authors obtain an upper bound on that value of n which maximizes the expected value of the function (for a specified value of k), and also an upper bound on the maximum of the expected value of the function. Some other inequalities are also obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0749040

Entities

People

  • Nozer D. Singpurwalla
  • Robert A. Brown

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Contracts
  • Cooperation
  • Data Science
  • Inequalities
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Order Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Analytical Mechanics