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A parametric lifetime model for a multicomponents system with spatial interactions

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  • F. Corset
  • M. Fouladirad
  • C. Paroissin
  • E. Remy

Abstract

In this paper, we consider a system made of n components displayed on a structure (eg, a steel plate). We define a parametric model for the hazard function, which includes covariates and spatial interaction between components. The state (nonfailed or failed) of each component is observed at some inspection times. From these data, we consider the problem of model parameter estimation. To achieve this, we suggest to use the SEM algorithm based on a pseudo‐likelihood function. A definition for the time‐to‐failure of the system is given, generalizing the classical cases. A study based on numerical simulations is provided to illustrate the proposed approach.

Suggested Citation

  • F. Corset & M. Fouladirad & C. Paroissin & E. Remy, 2019. "A parametric lifetime model for a multicomponents system with spatial interactions," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(2), pages 221-233, March.
    • Handle: RePEc:wly:apsmbi:v:35:y:2019:i:2:p:221-233
    DOI: 10.1002/asmb.2449
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