Correcting Measurement Error and Zero Inflation in Functional Covariates for Scalar-on-Function Quantile Regression
函数型协变量测量误差与零膨胀校正的标量对函数分位数回归
Wearable devices collect time-varying biobehavioral data, offering opportunities to investigate how behaviors influence health outcomes. However, these data often contain measurement error and excess zeros (due to nonwear, sedentary behavior, or connectivity issues), each characterized by subject-specific distributions. Current statistical methods fail to address these issues simultaneously. We introduce a novel modeling framework for zero-inflated and error-prone functional…