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CURRENT STATUS LINEAR REGRESSION

delete2018-08-01
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OA
AI
P
Piet Groeneboom *
K
Kim Hendrickx
DOI:10.1214/17-AOS1589delete
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Abstract

Abstract

En 中文
We construct root n-consistent and asymptotically normal estimates for the finite dimensional regression parameter in the current status linear regression model, which do not require any smoothing device and are based on maximum likelihood estimates (MLEs) of the infinite dimensional parameter. We also construct estimates, again only based on these MLEs, which are arbitrarily close to efficient estimates, if the generalized Fisher information is finite. This type of efficiency is also derived under minimal conditions for estimates based on smooth nonmonotone plug-in estimates of the distribution function. Algorithms for computing the estimates and for selecting the bandwidth of the smooth estimates with a bootstrap method are provided. The connection with results in the econometric literature is also pointed out.
Keywords:
Current status
linear regression
MLE
semiparametric model

Journal

Annals of Statistics cover
Annals of Statistics
IF:
3.7
Papers:
2.8K
Citations:
2.9W

Organization

D
Delft University of Technology
Scholars:
2.6W
Papers: 2.5W
Citations: 3.8W
H
Hasselt University
Scholars:
6.4K
Papers: 5.3K
Citations: 7.6K
Cited Papers

Cited Papers

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errR. M. Marquis; M. F. Oliver
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