Length-biased data are encountered in many fields, including economics, engineering and epidemiological cohort studies. There are two main challenges in the analysis of such data: the assumption of independent censoring is violated and the assumed model for the underlying population is no longer satisfied for the observed data. In this paper, a proportional mean residual life varying-coefficient model for length-biased data is considered and a local pseudo likelihood method is proposed for estimating the coefficient functions in the model. Asymptotic properties are investigated for the proposed estimators. The finite sample performance of the proposed methodology is demonstrated by simulation studies. Finally, the method is applied to a real data set concerning the Academy Awards.

中文翻译：

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长度偏向和右截尾数据具有不同系数的比例平均剩余寿命模型

在许多领域都会遇到长度偏差数据，包括经济学、工程和流行病学队列研究。分析此类数据存在两个主要挑战：违反了独立审查的假设，并且对于观察到的数据不再满足基础总体的假设模型。在本文中，考虑了长度偏差数据的比例平均剩余寿命变化系数模型，并提出了一种局部伪似然方法来估计模型中的系数函数。研究了所提出的估计量的渐近特性。模拟研究证明了所提出方法的有限样本性能。最后，将该方法应用于有关奥斯卡奖的真实数据集。