Functions Decreasing in Transposition with Applications to Shock, Damage, and Down Time.

Abstract

In this paper a large class of multivariate densities and frequency functions including the multivariate Poisson distribution and the compound multivariate Poisson distribution, are shown to have the decreasing in transposition property introduced by Hollander, Proschan, and Sethuraman (1977, Ann. Statist. 5, 722-733). Applications relevant to reliability are given, including applications to shock models, cumulation of damage, and component down times. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA068239

Entities

People

  • Frank Proschan
  • Jayaram Sethuraman
  • Myles Hollander

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Convolution
  • Frequency
  • Military Research
  • Permutations
  • Probability
  • Random Variables
  • Reliability
  • Scientific Research
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.