Estimating equations for analyzing correlated Birnbaum–Saunders (BS) data are derived in this paper. A regression model is proposed for modeling the median of the life time until the failure, and a reweighted iterative process is developed for the joint estimation of the regression coefficients and the shape and correlation parameters. Diagnostic procedures, such as residual analysis and sensitivity studies based on case deletion and local influence, are given. Simulation studies are performed to assess the empirical distributions of the derived estimators and of a Pearson-type residual for correlated data. Finally, a longitudinal data set is analyzed by the procedures developed in the paper and extensions for the double case in which the median and the shape parameter are jointly modeled are discussed.

中文翻译：

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基于估计方程的Birnbaum-Saunders相关数据分析

本文推导了用于分析相关伯恩鲍姆·桑德斯（BS）数据的估计方程。提出了一种回归模型，用于建模直至失效的寿命的中位数，并开发了一种重新加权的迭代过程，用于联合估算回归系数以及形状和相关参数。给出了诊断程序，例如基于病例删除和局部影响的残留分析和敏感性研究。进行仿真研究以评估相关数据的派生估计量和Pearson型残差的经验分布。最后，通过本文开发的程序分析了纵向数据集，并讨论了联合建模中值和形状参数的双重情况的扩展。