A Note on the Regression of Order Statistics

Abstract

This paper examines the relationships between the mean residual life functions of parallel and k-out-of-n systems with the regression of order statistics. Using these relationships, the results and properties about the mean residual life function of those systems can be used for the regression of order statistics and vice versa. Finally, the paper proposes a definition for the mean residual life function of a k-out-of-n system when the number of failed components of the system is known.

Keywords:

• k-out-of-n system
• Mean residual life function
• Order statistics
• Parallel system
• Regression

Mathematics Subject Classification:

• Primary 62N05
• Secondary 90B25

Acknowledgment

This paper was supported by the Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad.