Dependence Concepts and Reliability Application of Concomitants of Order Statistics from the Morgenstern Family

Abstract

The distribution theory and applications of concomitants from the Morgenstern family of bivariate distributions are discussed in Scaria and Nair, Biom. J. 41 (1999), 483–489. In the present study, some dependence concepts of concomitants of order statistics from the Morgenstern family are discussed. An application in reliability theory of designing a two component system using concomitants is also discussed.

Keywords

• Concomitants of order statistics
• Dependence measures
• Morgenstern type bivariate exponentiated exponential distribution
• Reliability
• Series and parallel systems