LINEAR-REGRESSION ANALYSIS OF CENSORED SURVIVAL-DATA BASED ON RANK-TESTS

LINEAR-REGRESSION ANALYSIS OF CENSORED SURVIVAL-DATA BASED ON RANK-TESTS
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DOI:
10.1093/biomet/77.4.845
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发表时间:
1990-12-01
期刊:
影响因子:
2.7
通讯作者:
LIN, DY
LIN, DY
中科院分区:
数学2区
文献类型:
--
作者:
WEI, LJ;YING, Z;LIN, DY

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最近,在误差分布不确定的线性模型中,常用截尾数据下的线性秩统计量作为回归参数的估计函数。得到的秩估计量是一致的,并且是渐近正态的。然而,这些估计量的渐近方差是复杂的,在截尾数据下很难很好地估计。在本文中,我们提出了一些简单的方法来对回归系数的一个子集进行推断,同时将其他的系数视为干扰参数。文中还给出了线性模型的失配检验。文中还举例说明了所提出的步骤。
Recently linear rank statistics with censored data have been used as the estimating functions for the regression parameters in the linear model with an unspecified error distribution. The resulting rank estimators are consistent and asymptotically normal. However, the asymptotic variances of these estimators are complicated and are difficult to estimate well with censored data. In this paper, we propose some simple methods for making inference about a subset of the regression coefficients while regarding others as nuisance parameters. A lack-of-fit test for the linear model is also presented. The proposed procedures are illustrated with an example.