From Quantile Functions to Subquantile Functions and Their Applications

Abstract In the present paper we consider the notion of subquantile functions of order n and discuss their applications in entropy and reliability analysis. Subquantiles appear as reversed mean life in reliability and conditional values at risk in risk analysis and are closely related to many other concepts in different disciplines. A systematic study of this concept is hoped to get better insight into the investigations made in related topics in other areas like reliability, risk, income analysis, etc. We propose some results that could be of applications in these areas.