期刊
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
卷 105, 期 490, 页码 683-691出版社
AMER STATISTICAL ASSOC
DOI: 10.1198/jasa.2010.tm09302
关键词
Estimating equations; Local polynomials; Martingale; Resampling
资金
- NSF [DMS-0504269, DMS-0645293]
- NIH [R01 CA-085848, R01 CA-140632]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1347844] Funding Source: National Science Foundation
We study a general class of partially linear transformation models, which extend linear transformation models by incorporating nonlinear covariate effects in survival data analysis. A new martingale-based estimating equation approach, consisting of both global and kernel-weighted local estimation equations, is developed for estimating the parametric and nonparametric covariate effects in a unified manner. We show that with a proper choice of the kernel bandwidth parameter, one can obtain the consistent and asymptotically normal parameter estimates for the linear effects. Asymptotic properties of the estimated nonlinear effects are established as well. We further suggest a simple resampling method to estimate the asymptotic variance of the linear estimates and show its effectiveness. To facilitate the implementation of the new procedure, an iterative algorithm is developed. Numerical examples are given to illustrate the finite-sample performance of the procedure. Supplementary materials are available online.
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