In this paper we establish multivariate likelihood ratio, hazard rate, and reversed hazard rate stochastic orderings between two mixtures of multivariate distributions. The new results in this paper extend some recent results in the literature by assuming that the components of the mixture can be conditionally dependent.
Bibliographical noteFunding Information:
This work has been supported by the Spanish research project MTM2012-36603-C02-02. The first and second authors acknowledge the support of DGA S11 and E64 , respectively. The work of the third author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2011-0017338 ). The work of the third author was also supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2009-0093827 ).
- Frailty model
- Preservation property
- Stochastic order
- Total positivity