Heitjan and Rubin proposed a concept, "coarsening at random," generalizing Rubin's theory of missing at random. Their analysis was done in discrete sample spaces. We propose a generalization to general sample spaces. Among Heitjan and Rubin's applications was right-censoring in survival analysis. We discuss the application of the generalized theory to various censoring patterns in continuous time and connect to the modern theory of random censoring.
"Coarsening at Random in General Sample Spaces and Random Censoring in Continuous Time." Ann. Statist. 23 (3) 774 - 786, June, 1995. https://doi.org/10.1214/aos/1176324622