Some Reliability Applications of the Variability Ordering.

Abstract

The random variable X is said to be more variable than Y if E(f(x)) = or > E(f(Y)) for all increasing convex functions f. We prove a preservation, under random sized sums, property of this ordering and then applying it to branching processes and shock models. Other applications of this order--to a population survival and to a Poisson shock model--are also given. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1982
Accession Number
ADA120815

Entities

People

  • Sheldon M. Ross
  • Zvi Schechner

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • California
  • Distribution Functions
  • Engineering
  • Industrial Engineering
  • New York
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Scientific Research
  • Survival
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Combustion Dynamics and Shock Wave Physics.
  • Statistical inference.