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Two-Dimensional Failure Modeling

  • D.N. Murthy
  • Jaiwook Baik
  • Richard Wilson
  • Michael Bulmer

Abstract

For many products (for example, automobiles), failures depend on age and usage and, in this case, failures are random points in a two-dimensional plane with the two axes representing age and usage. In contrast to the one-dimensional case (where failures are random points along the time axis) the modeling of two-dimensional failures has received very little attention. In this chapter we discuss various issues (such as modeling process, parameter estimation, model analysis) for the two-dimensional case and compare it with the one-dimensional case.

Keywords

Hazard Function Usage Rate Failure Time Weibull Model Subsequent Failure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Abbreviations

WPP

Weibull probability plot

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Division of Mechanical EngineeringThe University of QueenslandBrisbaneAustralia
  2. 2.Department of Information StatisticsKorea National Open UniversitySeoulSouth Korea
  3. 3.Department of MathematicsThe University of QueenslandBrisbaneAustralia
  4. 4.Department of MathematicsUniversity of QueenslandBrisbaneAustralia

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