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Registro 1 de 2, Base de información Bciucla |
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Información de existencia
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Resumen
A generalized cumulative damage approach is presented which yields a large family of accelerated test inverse Gaussian-type models for strength of materials that incorporate the size effect as the acceleration variable. Previous models are generalized here in three aspects: the cumulative damage model is more general and can include damage functions other than the additive and multiplicative damages; the strength reduction function due to initial damage existing in the material is taken to be a very general function; and the initial damage process is a more general stochastic process that includes those previously assumed as special cases. The approach taken here is therefore the most general cumulative damage model obtained to date and yields a large number of potentially more useful accelerated test models for material strength. Estimation of model parameters by maximum likelihood methods is discussed, and two examples using real tensile strength data for carbon micro-composites and single carbon fibers are presented, illustrating the improvement of the new approach over previous models.
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Registro 2 de 2, Base de información Bciucla |
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Información de existencia
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Resumen
For the competing risk setting where the lifetime data are due to one of several distinct and exclusive causes, comparison of cause-specific hazard rates is of interest to researchers. In this paper we survey existing methods for related tests and provide a new test for a common overall rate for all causes and groups. Tests given in the literature for checking for a common rate for causes and a common rate for the groups are shown to be in the same framework as the proposed test for common overall rate. Asymptotics are shown to follow a common theme for each test. An extensive numerical and graphical investigation and an example are presented to substantiate the proposed methods.
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