Title
Sieve least squares estimator for partial linear models with current status data.
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.
Year
DOI
Venue
2011
10.1007/s11424-011-8050-3
J. Systems Science & Complexity
Keywords
Field
DocType
current status data,sieve least squares estimator,strong consistent.,convergence rate,partial linear model,strong consistency,parameter estimation,normal distribution,survival analysis
Least squares,Mathematical optimization,Ordinary least squares,Generalized least squares,Simple linear regression,Non-linear least squares,Total least squares,Statistics,Linear least squares,Mathematics,Estimator
Journal
Volume
Issue
ISSN
24
2
15597067
Citations 
PageRank 
References 
0
0.34
0
Authors
6
Name
Order
Citations
PageRank
songlin100.34
wang200.34
Hongqi Xue311.30
zhang462.70
hongqi500.34
xue692.65