Topp-Leone XLindley分布：性质、估计及其在寿命数据中的应用

中文摘要 AI 辅助

本文利用Topp-Leone开发的一族分布，构建了一种新颖的双参数寿命分布，命名为Topp-Leone XLindley分布。我们研究了该分布的多种统计与数学特征，如可靠性函数、矩、矩生成函数、分位数函数以及Renyi熵。为了在提出的分布模型下估计参数，进行了模拟研究以评估Topp-Leone XLindley分布参数的最大似然估计的性能。开展了一项全面的模拟调查以评估所提出方法的表现。此外，为了说明目的，研究了一个银行客户等待时间的实际数据集。

英文摘要

In this article, we use a family of distributions developed by Topp-Leone to create a novel lifetime two-parameter distribution. The Topp-Leone XLindley distribution is the name used for it. We study several types of statistical and mathematical characteristics of this distribution, such as reliability functions, moments, moment-generating function, quantile function, and the Renyi entropy. For the purpose of estimating parameters under the proposed distribution model, this simulation study is conducted to evaluate the performance of the maximum likelihood estimates for the parameters of the Topp-Leone XLindley distribution. A comprehensive simulation investigation is carried out to evaluate the performance of the proposed methods. Furthermore, a practical data set of bank customer waiting times has been investigated for the purpose of illustration.

发表机构

• Vellore Institute of Technology（维洛尔理工学院）
• Haldia Institute of Technology（哈尔迪亚理工学院）

机构由 AI 辅助整理，请以论文原文为准。