Log-Kumaraswamy分布:特征与应用

IF 1.3 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-10-31 DOI:10.3389/fams.2023.1258961

Aliyu Ismail Ishaq, Ahmad Abubakar Suleiman, Hanita Daud, Narinderjit Singh Sawaran Singh, Mahmod Othman, Rajalingam Sokkalingam, Pitchaya Wiratchotisatian, Abdullahi Garba Usman, Sani Isah Abba

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引用次数: 0

摘要

本文旨在为非负随机变量提供一个新的连续概率密度函数，作为一些有界域分布的替代方案。新的分布，称为log-Kumaraswamy分布，可以忠实地用来与有界和无界随机过程竞争。研究了该分布的一些基本特征，并基于最大间距积、最小二乘法和加权最小二乘法得到了其估计参数。新的分布被证明在灵活性和对实际数据集的适用性方面优于传统模型。

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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Log-Kumaraswamy distribution: its features and applications

This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and unbounded random processes. Some essential features of this distribution were studied, and the parameters of its estimates were obtained based on the maximum product of spacing, least squares, and weighted least squares procedures. The new distribution was proven to be better than traditional models in terms of flexibility and applicability to real-life data sets.

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