Sieve least squares estimator for partial linear models with current status data |
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Authors: | Songlin?Wang Sanguo?Zhang Email author" target="_blank">Hongqi?XueEmail author |
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Institution: | 1.School of Mathematical Sciences,Graduate University of Chinese Academy of Sciences,Beijing,China;2.Department of Biostatistics and Computational Biology,University of Rochester,Rochester,USA |
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Abstract: | Current status data often arise in survival analysis and reliability studies, when a continuous response is reduced to an
indicator of whether the response is greater or less than an observed random threshold value. This article considers a partial
linear model with current status data. A sieve least squares estimator is proposed to estimate both the regression parameters
and the nonparametric function. This paper shows, under some mild condition, that the estimators are strong consistent. Moreover,
the parameter estimators are normally distributed, while the nonparametric component achieves the optimal convergence rate.
Simulation studies are carried out to investigate the performance of the proposed estimates. For illustration purposes, the
method is applied to a real dataset from a study of the calcification of the hydrogel intraocular lenses, a complication of
cataract treatment. |
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Keywords: | |
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