Cumulative Damage Threshold Crossing Models.

Abstract

This paper describes a model for survival functions called the cumulative damage threshold crossing model. Under this model, an item, consisting of a large number of components which suffer damage at regular moments of time, fails as soon as the maximum cumulative damage to some component crosses a certain threshold. Under various conditions on the damage distribution, two plausible new survival distributions arise. One survival function is shown to fit several data sets in the area of cancer studies, failure times of insulating fluids and failure times of air conditioning units.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA143194

Entities

People

  • Jayaram Sethuraman
  • T. R. Young

Organizations

  • Florida State University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Age Groups
  • Air Conditioning
  • Aircrafts
  • Crossings
  • Data Sets
  • Distribution Functions
  • Electronic Equipment
  • Military Research
  • Neoplasms
  • Normal Distribution
  • Probability
  • Random Variables
  • Statistics
  • Stochastic Processes
  • Survival
  • Transport Aircraft

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Toxicology/Environmental Toxicology

Technology Areas

  • Microelectronics