Superquantile function of order n and their applications in reliability and entropy

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-05-24 DOI:10.1016/j.spl.2025.110457

N. Unnikrishnan Nair , S.M. Sunoj , Silpa Subhash

引用次数: 0

Abstract

The superquantile function enjoys many more desirable properties than the conventional quantile function and as such may be considered as an alternative to the distribution function in probability calculus. It is expressed in terms of the mean life function and is used iteratively to construct a hierarchy of quantile functions. The sequence of the quantile function so obtained is used to develop the characterization results. The implications of the superquantile function in the context of explaining the vitality of an organism or unit are exploited to find the application to reliability analysis. Some applications to analysing cumulative residual entropy are also discussed.

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n阶上分位数函数及其在可靠性和熵中的应用

超分位数函数比传统的分位数函数具有许多更理想的性质，因此可以被认为是概率演算中分布函数的替代品。它用平均寿命函数表示，并迭代地构建分位数函数的层次结构。由此得到的分位数函数序列用于发展表征结果。在解释有机体或单位的活力的背景下，超分位数函数的含义被利用来寻找可靠性分析的应用。讨论了在分析累积残差熵方面的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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