We investigate estimation in Poisson regression model when the count response is right-censored and the censoring indicators are missing at random. We propose several estimators based on the regression calibration, multiple imputation and augmented inverse probability weighting methods. Under appropriate regularity conditions, we prove the consistency of our estimators and we derive their asymptotic distributions. Simulation experiments are carried out to investigate the finite sample behaviour and relative performance of the proposed estimates. These estimates are illustrated on a real data set.
Authors acknowledge financial support from the Hubert Curien “PHC-Utique” program (CMCU number: 20G1503 – Campus France number: 44172SL), implemented by Campus France.
Authors are grateful to two referees and the Associate Editor for their comments and suggestions that led substantial improvements of this paper.
"Censored count data regression with missing censoring information." Electron. J. Statist. 15 (2) 4343 - 4383, 2021. https://doi.org/10.1214/21-EJS1897