On quantile-based dynamic survival extropy and its applications

Year 2023, Volume: 52 Issue: 5, 1349 - 1366, 31.10.2023

Amir Hamzeh Khammar Seyyed Mahdi Amir Jahanshahi , Hassan Zarei

https://doi.org/10.15672/hujms.823331

Abstract

The cumulative residual extropy is an uncertainty measure that parallels extropy in an absolutely continuous cumulative distribution function. The dynamic version of this measure is known as dynamic survival extropy. In this paper, we study some properties of the dynamic survival extropy using quantile function approach. Unlike the dynamic survival extropy, the quantile-based dynamic survival extropy determines the quantile density function uniquely through a simple relationship. We also extend the definition of quantile-based dynamic survival extropy into order statistics. Finally, an application of new quantile-based uncertainty measure as a risk measure is derived.

Keywords

Characterization, dynamic survival extropy, quantile function, reliability measures, order statistics, risk measure, stochastic orders, uncertainty

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