In this paper we derive estimating equations for modeling unbalanced correlated data sets in which the marginal distributions follow the one parameter unit-Lindley distributions with domain on the interval (0,1). A class of regressions models is proposed for modeling the location parameter and a reweighted iterative process is developed for the joint estimation of the regression coefficients and the correlation structure. Simulation studies are performed to assess the empirical properties of the derived estimators and diagnostic procedures, such as residual analysis and sensitivity studies based on conformal local influence are given. Finally, we analyze the proportion of people in households with inadequate water supply and sewage within federation units of Brazil by the procedures developed in the paper.

在本文中，我们推导出用于对不平衡相关数据集建模的估计方程，其中边际分布遵循单参数单位林德利分布，其域在区间 (0,1) 上。提出了一类回归模型来对位置参数进行建模，并开发了一种重新加权的迭代过程来联合估计回归系数和相关结构。执行模拟研究以评估导出的估计量和诊断程序的经验特性，例如残差分析和基于共形局部影响的敏感性研究。最后，我们通过本文开发的程序分析了巴西联邦单位内供水和污水处理不足的家庭人口比例。