非线性Birnbaum-Saunders回归中三个经典准则的非零渐近分布

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-09-08 DOI:10.1016/j.apm.2025.116430

Artur J. Lemonte

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引用次数: 0

摘要

本文给出了Pitman选项序列下非线性Birnbaum-Saunders回归模型的似然比、Wald和Rao分数检验统计量的累积分布函数的非零渐近展开式。这三种基于似然的检验的二阶局部幂等价于一阶，并进行了分析比较。然后，我们为任意两个准则的幂差提供了一个明确且易于应用的表达式，因此，用户可以选择最强大的检验来对非线性Birnbaum-Saunders回归模型中的回归参数进行推断。为了便于说明，我们还提供了一个真实的数据示例。

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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Nonnull asymptotic distributions of three classic criteria in nonlinear Birnbaum-Saunders regressions

In this paper, we derive nonnull asymptotic expansions for the cumulative distribution functions of the likelihood ratio, Wald, and Rao score test statistics in nonlinear Birnbaum-Saunders regression models under a sequence of Pitman alternatives. The second-order local power of these three likelihood-based tests, which are equivalent to first-order, is compared analytically. We then provide an explicit and easily applicable expression for the difference in power of any two criteria, and, hence, the user can choose the most powerful test to make inferences on the regression parameters in the class of nonlinear Birnbaum-Saunders regression models. We also provide a real data example for illustrative purposes.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.