Lehmann II型泰西尔分布

Pub Date : 2023-10-01 DOI:10.1515/ms-2023-0094

V. Kumaran, Vishwa Prakash Jha

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引用次数: 0

摘要

本文引入了一种双参数连续分布，即Lehmann II型Teissier分布。推导了该模型的一些重要性质，包括rsamunyi熵、Bonferroni曲线、Lorenz曲线和精确信息矩阵。正在使用七种不同的技术来估计参数，并进行模拟以观察最大似然估计。使用精确信息矩阵和自举技术获得参数的区间估计。最后，为了说明实际意义，使用本文提出的模型对三个与COVID-19和降雨相关的数据集进行建模。

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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The Lehmann Type II Teissier Distribution

ABSTRACT In this work, a two-parameter continuous distribution, namely the Lehmann type II Teissier distribution is introduced. Some important properties including the Rényi entropy, Bonferroni curves, Lorenz curves and the exact information matrix of the proposed model are derived. Seven different techniques are being used for the estimation of parameters and a simulation is carried out to observe the maximum likelihood estimates. Interval estimates of the parameters are obtained using exact information matrix and bootstrapping techniques. Finally, to show the practical significance, three datasets related to COVID-19 and rainfall are modeled using the proposed model.

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