Shock Models with Phase Type Survival and Shock Resistance.

Abstract

New closure theorems for shock models in reliability theory are presented. If the number of shocks to failure and the times between the arrivals of shocks have probability distributions of phase type, then so has the time to failure. PH-distributions are highly versatile and may be used to model many qualitative features of practical interest. They are also well-suited for algorithmic implementation. The computational aspects of our results are discussed in some detail. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA091038

Entities

People

  • Manish C. Bhattacharjee
  • Marcel F. Neuts

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Computations
  • Delaware
  • Differential Equations
  • Discrete Distribution
  • Equations
  • Markov Chains
  • Markov Processes
  • Mathematics
  • Numerical Integration
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Shock Resistance

Readers

  • Explosive Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Statistical inference.