离散时间到事件数据的比例概率危险模型

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED Axioms Pub Date : 2023-12-06 DOI:10.3390/axioms12121102

Maria Gabriella Figueiredo Vieira, Marcílio Ramos Pereira Cardial, Raul Y. Matsushita, E. Nakano

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引用次数: 0

摘要

在本文中，我们提出了离散时间到事件数据的比例赔率风险模型的发展。在这项工作中，考虑到右审查和离散威布尔分布和逻辑逻辑分布的存在，制定了关于模型参数的推论。通过仿真研究验证了估计量的渐近性。此外，还提出了检查比例赔率假设的程序，并使用腰痛患者生存时间的数据集说明了所提出的模型。

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Proportional Odds Hazard Model for Discrete Time-to-Event Data

In this article, we present the development of the proportional odds hazard model for discrete time-to-event data. In this work, inferences about the model’s parameters were formulated considering the presence of right censoring and the discrete Weibull and log-logistic distributions. Simulation studies were carried out to check the asymptotic properties of the estimators. In addition, procedures for checking the proportional odds assumption were proposed, and the proposed model is illustrated using a dataset on the survival time of patients with low back pain.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.