一种具有统计性质和应用的双参数寿命模型

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-03-29 DOI:10.37394/23206.2023.22.26

Najwan Alsadat

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引用次数: 1

摘要

研究了一种新的寿命分布，即截断柯西功率长度偏倚指数分布(TCP-LBEX)，它扩展了长度偏倚模型。推导了TCP-LBEX模型的统计性质，包括分位数函数、不完全矩、矩和熵。采用极大似然估计法对TCP-LBEX的参数进行估计。采用蒙特卡罗模拟来评估参数的行为。最后，我们演示了两个实际数据集的应用，以显示所提出模型的灵活性和潜力。

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A New Two-Parameter Lifetime Model with Statistical Properties and Applications

A new lifetime distribution called the truncated Cauchy power length-biased exponential (TCP-LBEX) distribution that extends the length-biased (LBEX) model is investigated. The statistical properties of the TCP-LBEX model including the quantile function, incomplete moment, moment, and entropy are derived. The method of maximum likelihood estimation was used to estimate the parameters of the TCP-LBEX. Monto Carlo simulations are used to assess the behavior of parameters. Finally, we demonstrate applications of two real-world data sets to show the flexibility and potentiality of the proposed model.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.