Mangalam et al. (2008) showed that under condition (A) every censoring interval contains at least one uncensored observation, i.e. d i ¼ 0 implies that there exists j such that d j ¼ 1 and X j 2 ðU i ,V i Þ, the solution of Eq. (1.3) will be unique, and as a consequenceF n will be equal to an NPMLE.