A bivariate fatigue-life regression model and its application to fracture of metallic tools

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
H. Saulo, Jeremias Leão, V. Leiva, R. Vila, V. Tomazella
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引用次数: 1

Abstract

The Birnbaum–Saunders distribution has been widely used to model reliability and fatigue data. In this paper, we propose a regression of generalized linear models type based on a new bivariate Birnbaum–Saunders distribution. This is parameterized in terms of its means and allows data to be described in their original scale. We estimate the model parameters and carry out inference with the maximum likelihood method. A case study with real-world reliability data is conducted for motivating our investigation, illustrating the potential applications of the proposed results. We obtain a predictive model which can be a useful addition to the tool-kit of diverse practitioners, reliability engineers, applied statisticians, and data scientists.
二元疲劳寿命回归模型及其在金属工具断裂中的应用
Birnbaum-Saunders分布已被广泛用于建模可靠性和疲劳数据。在本文中,我们提出了一种基于新的二变量Birnbaum–Saunders分布的广义线性模型类型的回归。这是根据其手段参数化的,并允许以原始规模描述数据。我们估计模型参数,并用最大似然法进行推理。为了激励我们的调查,对真实世界的可靠性数据进行了案例研究,说明了所提出的结果的潜在应用。我们获得了一个预测模型,它可以作为不同从业者、可靠性工程师、应用统计学家和数据科学家工具包的有用补充。
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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来源期刊
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
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