Robust Bayesian Inference for Berkson and Classical Measurement Error Models

arXiv:2306.01468v2 Announce Type: replace-cross
Abstract: Measurement error occurs when a covariate influencing a response variable is corrupted by noise. This can lead to misleading inference outcomes, particularly in problems where accurately estimating the relationship between covariates and response variables is crucial, such as causal effect estimation. Existing methods for dealing with measurement error often rely on strong assumptions such as knowledge of the error distribution or its variance and availability of replicated measurements of the covariates. We propose a Bayesian …

abstract arxiv bayesian bayesian inference causal error inference measurement noise relationship robust stat.me stat.ml type variables