| Asymptotics on Semiparametric Analysis of Multivariate Failure Time Data Under the Additive Hazards Model |
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| 作者姓名： | Huan-binLiu Liu-quanSun Li-xingZhu |
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| 作者单位： | 2，3 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No. 10471140)，Science Foundation of HUBEI (98j081)，Scientific Research Great Project of Education Department of HUBEI (2002Z04001).
supported by grants from Research Grants Council of |
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| 摘 要： | Many survival studies record the times to two or more distinct failures on each subject. The failures may be events of different natures or may be repetitions of the same kind of event. In this article, we consider the regression analysis of such multivariate failure time data under the additive hazards model. Simple weighted estimating functions for the regression parameters are proposed, and asymptotic distribution theory of the resulting estimators are derived. In addition, a class of generalized Wald and generalized score statistics for hypothesis testing and model selection are presented, and the asymptotic properties of these statistics are examined.
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| 关 键 词： | 多变量失效时间 风险可加模型 估计方程 瓦尔德测试 |
| 收稿时间： | 27 November 2003 |
Asymptotics on Semiparametric Analysis of Multivariate Failure Time Data Under the Additive Hazards Model |
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| Huan-binLiu Liu-quanSun Li-xingZhu.Asymptotics on Semiparametric Analysis of Multivariate Failure Time Data Under the Additive Hazards Model[J].Acta Mathematicae Applicatae Sinica,2005,21(2):237-246. |
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| Authors: | Huan-bin Liu Liu-quan Sun Li-xing Zhu |
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| Institution: | (1) Department of Mathematics, Huanggang Normal University, Huanggang 438000, China;(2) Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China;(3) University of Hong Kong, Hong Kong, China |
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| Abstract: | Many survival studies record the times to two or more distinct failures on each subject. The failures may be events of different natures or may be repetitions of the same kind of event. In this article, we consider the regression analysis of such multivariate failure time data under the additive hazards model. Simple weighted estimating functions for the regression parameters are proposed, and asymptotic distribution theory of the resulting estimators are derived. In addition, a class of generalized Wald and generalized score statistics for hypothesis testing and model selection are presented, and the asymptotic properties of these statistics are examined. |
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| Keywords: | Multivariate failure times additive hazards model censoring estimating equation Wald test score test |
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