Actuarial and various entropy measures for a new extended log Kumaraswamy model: Properties and applications

IF 6.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

alexandria engineering journal Pub Date : 2025-05-05 DOI:10.1016/j.aej.2025.04.039

Naif Alotaibi

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引用次数: 0

Abstract

This article introduces a novel extension of the log Kumaraswamy distribution, termed Marshall Olkin log Kumaraswamy

(M O L k_{w})

. The mathematical and statistical characteristics of the suggested distribution are constructed, encompassing explicit formulations for quantiles, moments, conditional moments, as well as the Bonferroni and Lorenz curves. Five estimation methods for the model parameters have been derived. Entropy measures uncertainty and disorder in systems, playing a crucial role in fields such as statistics, economics, physics, and computer science. Rényi entropy is widely used in applications like statistical inference and pattern recognition. Accordingly, five entropy measures have been obtained for the

M O L k_{w}

distribution A Monte Carlo simulation study is conducted to assess the efficacy of these estimators. Additionally, certain actuarial metrics, including value at risk and tail value at risk, are computed. Ultimately, applications of the model to actual data sets are provided to demonstrate the applicability and utility of the

M O L k_{w}

distribution.

查看原文本刊更多论文

一个新的扩展对数Kumaraswamy模型的精算和各种熵度量：性质和应用

本文介绍了对数Kumaraswamy分布的一个新的扩展，称为Marshall Olkin对数Kumaraswamy （MOLkw）。构造了建议分布的数学和统计特征，包括分位数，矩，条件矩以及Bonferroni和Lorenz曲线的显式公式。给出了模型参数的五种估计方法。熵衡量系统中的不确定性和无序性，在统计学、经济学、物理学和计算机科学等领域发挥着至关重要的作用。rsamnyi熵被广泛应用于统计推断和模式识别等领域。据此，得到了MOLkw分布的五种熵测度，并进行了蒙特卡罗模拟研究，以评估这些估计量的有效性。此外，还计算了某些精算度量，包括风险值和风险尾值。最后，给出了模型在实际数据集上的应用，以证明MOLkw分布的适用性和实用性。

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

alexandria engineering journal Engineering-General Engineering

CiteScore

11.20

自引率

4.40%

发文量

1015

审稿时长

43 days

期刊介绍： Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering