In this paper, we develop a general multivariate new better than used (MNBU) distribution based on a multivariate common shock model. Assuming that the external shock process follows the generalized Pólya process and a shock can destroy each component with some given probability, the multivariate survival distribution is obtained. The dependence structure of the multivariate distribution is analyzed. The properties on the dependence order and the multivariate ageing are also studied. Finally, as a special case, we consider the distribution of the minimum random variable and briefly discuss its properties.
- Ageing property
- Common shock model
- Generalized Pólya process
- Multivariate new better than used (MNBU) distribution
- Stochastic dependence