The classical competing risks model deals with failure times of items subject to multiple causes of failure. We propose a version of the well-known 'new better than used' and 'new worse than used' ageing notions for random lifetimes within a specific cause of failure in the competing risks set up. Various properties of these new notions are studied, including the closure under time-dependent scale changes, as well as their connection to the hazard rate functions of the competing risks model. A data analytic example is finally provided.
On the NBU ageing notion within the competing risks model / DI CRESCENZO, Antonio; Longobardi, Maria. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - ELETTRONICO. - 136:5(2006), pp. 1638-1654. [10.1016/j.jspi.2004.08.022]
On the NBU ageing notion within the competing risks model
LONGOBARDI, MARIA
2006
Abstract
The classical competing risks model deals with failure times of items subject to multiple causes of failure. We propose a version of the well-known 'new better than used' and 'new worse than used' ageing notions for random lifetimes within a specific cause of failure in the competing risks set up. Various properties of these new notions are studied, including the closure under time-dependent scale changes, as well as their connection to the hazard rate functions of the competing risks model. A data analytic example is finally provided.| File | Dimensione | Formato | |
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