THE 2-INTERVAL LINE-SEGMENT PROBLEM

In this paper Re define and study the non-parametric maximum likelihoo d estimator (NPMLE) in the one-dimensional line-segment problem, where we observe line-segments on the real line through an interval with a gap which is smaller than the two remaining intervals, We define the s elf-consistency equations for the NPMLE and provide a quick algorithm for solving them, We prove supremum norm weak convergence to a Gaussia n process and efficiency of the NPMLE, The problem has a geological ap plication in the study of the lifespan of species.