New classification results under the Marshall-Olkin shock model
- Belzunce Torregrosa, Félix
- Ortega Pastor, Eva María
- Ruiz Gómez, José María
Publisher: Jaén : Universidad de Jaén, 2001
ISBN: 84-8439-080-2
Year of publication: 2001
Congress: Congreso Nacional de Estadística e Investigación Operativa (26. 2001. Úbeda)
Type: Conference paper
Abstract
Many biological and engineering systems consist of components for which an assumption that the life lengths are independent is unrealistic. Therefore, several multivariate extensions of some ageing classes have been considered in the literature. On the other hand, the DRLLt and NBULt classes have been defined by comparisons of residual lives in terms of Laplace order. In this paper, we define new bivariate ageing classes as extensions of the DRLLt and NBULt classes. Also, we provide new classification results for the new bivariate classes under the Marshall-Olkin Shock Model, which is defined as a bivariate extension of the homogeneous Poisson shock model.