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A parametric lifetime model for a multicomponents system with spatial interactions
Author(s) -
Corset F.,
Fouladirad M.,
Paroissin C.,
Remy E.
Publication year - 2019
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2449
Subject(s) - parametric statistics , covariate , component (thermodynamics) , function (biology) , parametric model , hazard , algorithm , computer science , mathematics , state (computer science) , mathematical optimization , statistics , machine learning , physics , chemistry , organic chemistry , evolutionary biology , biology , thermodynamics
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.