Diagnostics in Birnbaum-Saunders accelerated life models with an application to fatigue data

2012 ◽  
Vol 30 (2) ◽  
pp. 115-131 ◽  
Author(s):  
Víctor Leiva ◽  
Edgardo Rojas ◽  
Manuel Galea ◽  
Antonio Sanhueza
Keyword(s):  
Accelerated Life ◽  
Fatigue Data ◽  
Accelerated Life Models

comparing several accelerated life models

1993 ◽  
Vol 22 (8) ◽  
pp. 2297-2308 ◽  
Author(s):  
Josemar Rodrigues ◽  
Heleno Bolfarine ◽  
Francisco Louzada-Neto
Keyword(s):  
Accelerated Life ◽  
Accelerated Life Models

scholarly journals Asymptotic behavior of a general class of mixture failure rates

2006 ◽  
Vol 38 (01) ◽  
pp. 244-262 ◽  
Author(s):  
Maxim Finkelstein ◽  
Veronica Esaulova
Keyword(s):  
Asymptotic Behavior ◽  
Failure Rate ◽  
Proportional Hazards ◽  
General Setting ◽  
Increasing Failure Rate ◽  
Left Hand ◽  
Mixing Distribution ◽  
Additive Hazards ◽  
Accelerated Life ◽  
Accelerated Life Models

Mixtures of increasing failure rate distributions can decrease, at least in some intervals of time. Usually this property is observed asymptotically, ast→ ∞, which is due to the fact that a mixture failure rate is ‘bent down’, as the weakest populations are dying out first. We consider a survival model that generalizes additive hazards models, proportional hazards models, and accelerated life models very well known in reliability and survival analysis. We obtain new explicit asymptotic relations for a general setting and study specific cases. Under reasonable assumptions we prove that the asymptotic behavior of the mixture failure rate depends only on the behavior of the mixing distribution in the neighborhood of the left-hand endpoint of its support, and not on the whole mixing distribution.

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