Inference with Bivariate Truncated Data
In this paper we build on previous work for estimation of the bivariate distribution of time variables when they are observable only on the condition that one of the times variables is greater than (left-truncated) or less than (right-truncated) some observed time variable. We propose various inferential methods, including variance and confidence interval estimation as well as a test for independence of events. We will demonstrate the implementation of these methods in simulation studies and a data analysis. In addition we present ad-hoc estimators for important special cases of truncation of bivariate right censored data.
Statistical Methodology | Statistical Theory
Quale, Christopher M. and van der Laan, Mark J., "Inference with Bivariate Truncated Data" (February 1998). U.C. Berkeley Division of Biostatistics Working Paper Series. Working Paper 69.