Buckley and James (1979) proposed an estimation method for linear regression models with unspecified residual distribution and right-censored response variables. In this paper we consider weak consistency of the regression parameter estimators under regularity conditions which avoid restrictions on the censoring patterns.
"Consistency Results for Linear Regression with Censored Data." Ann. Statist. 12 (2) 590 - 600, June, 1984. https://doi.org/10.1214/aos/1176346507