On a generalized entropy of mixed systems

Abstract

In this paper, we study generalized entropy of order (α, β) for mixed systems whose component lifetimes are independent identically distributed. We obtain results based on the notion of Samaniego’s signature. When two systems share the same signature, stochastic comparisons of generalized entropy of order (α, β) of mixed systems are discussed. Further, bounds of generalized entropy of system lifetime are derived. We also study generalized discrimination measure of order (α, β) between the distributions of lifetimes of a system and its components. Finally, it is shown that the generalized discrimination measure is free from the distribution and depends on the system signature.

Subject Classification:

• 62N05
• 94A17

Keywords:

• System Signature
• Mixed System
• Generalized Entropy
• Stochastic Order
• Generalized Discrimination