Likelihood ratio order of parallel systems under multiple-outlier models

ABSTRACT

This paper studies the likelihood ratio ordering of parallel systems under multiple-outlier models. We introduce a partial order, the so-called θ-order, and show that the θ-order between the parameter vectors of the parallel systems implies the likelihood ratio order between the systems.

KEYWORDS:

• Multiple-outlier model
• likelihood ratio order
• parallel system
• stochastic comparison.

MATHEMATICS SUBJECT CLASSIFICATION:

• 90B25
• 60E15

Acknowledgments

The author thanks the AE and the referees for their valuable comments and suggestions, which resulted in the improvement of this manuscript.