This paper concerns linear regression with interval censored data. $M$-estimators for the regression coefficients are derived. Asymptotic consistency and normality of the $M$-estimators are obtained via an exponential inequality for $U$-statistics. Asymptotically efficient estimators are provided under mild conditions.
"Linear regression with interval censored data." Ann. Statist. 26 (4) 1306 - 1327, August 1998. https://doi.org/10.1214/aos/1024691244