From Quantile Functions to Subquantile Functions and Their Applications

Unnikrishnan Nair N. () and Sunoj S. M. ()
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Unnikrishnan Nair N.: Department of Statistics, 29288 Cochin University of Science and Technology , Cochin 682 022, Kerala, India
Sunoj S. M.: Department of Statistics, 29288 Cochin University of Science and Technology , Cochin 682 022, Kerala, India

Stochastics and Quality Control, 2025, vol. 40, issue 2, 171-184

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.

Keywords: Subquantile Functions; Mean Inactivity Time; Reliability; Conditional Value at Risk; Entropy (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1515/eqc-2025-0014

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