The Two‐interval Line‐segment Problem

Mark J. Van Der Laan

Scandinavian Journal of Statistics, 1998, vol. 25, issue 1, 163-186

Abstract: In this paper we define and study the non‐parametric maximum likelihood 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 self‐consistency equations for the NPMLE and provide a quick algorithm for solving them. We prove supremum norm weak convergence to a Gaussian process and efficiency of the NPMLE. The problem has a geological application in the study of the lifespan of species

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:bla:scjsta:v:25:y:1998:i:1:p:163-186

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