From Conditional Quantile Regression to Marginal Quantile Estimation with Applications to Missing Data and Causal Inference
从条件分位数回归到边际分位数估计:缺失数据与因果推断应用
It is well known that information on the conditional distribution of an outcome variable given covariates can be used to obtain an enhanced estimate of the marginal outcome distribution. This can be done easily by integrating out the marginal covariate distribution from the conditional outcome distribution. However, to date, no analogy has been established between marginal quantile and conditional quantile regression. This article provides a link between them. We propose two…