Test for additive interaction in proportional hazard model applied to Pitot sensors reliability and survivability

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• 作者：Wajih Ezzeddine ^{wajih.ezzeddine@univ-lorraine.fr" class="auth_mail" title="E-mail the corresponding author} ; Jé ; ré ; mie Schutz ^{jeremie.schutz@univ-lorraine.fr" class="auth_mail" title="E-mail the corresponding author} ; Nidhal Rezg ^{nidhal.rezg@univ-lorraine.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Pitot sensor ; hazard model ; interaction ; time dependant ; estimation
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：2
• 页码：1-5
• 全文大小：503 K

文摘

Cox proportional hazards model is one of the most common methods used in analysis of time to event data. Estimation of proportional hazards models when covariates are time independent increase the power of significance of the model. Techniques to release this assumption of proportionality allow researchers to test whether the effects of covariates change over time and also permit a more nuanced understanding of the phenomenon being studied. The current paper presents an extension for the Cox model in case of non-proportional risk. This new model will be applied in the Pitot Sensor's reliability function to study the covariates interaction with time. A simulation study is used to illustrate the model and to show its new performances. This paper focuses in the determination of the Pitot sensor reliability and survivability Function. However, the same process can be generalized to study the reliability function of other standby systems.