A Brief Overview of Restricted Mean Survival Time Estimators and Associated Variances

被引:12
作者
Nemes, Szilard [1 ,2 ]
Bulow, Erik [2 ,3 ]
Gustavsson, Andreas [1 ]
机构
[1] AstraZeneca, BioPharmaceut R&D, Data Sci & AI, BioPharma Early Biometr & Stat Innovat, S-43183 Gothenburg, Sweden
[2] Univ Gothenburg, Sahlgrenska Acad, Inst Clin Sci, Dept Orthopaed, S-40530 Gothenburg, Sweden
[3] Registerctr Vastra Gotaland, Swedish Hip Arthroplasty Register, S-41390 Gothenburg, Sweden
来源
STATS | 2020年 / 3卷 / 02期
关键词
RMST; censoring; variance estimator; efficacy; Kaplan-Meier; flexible-survival methods; pseudo-observation; CENTRAL-LIMIT-THEOREM; PSEUDO-OBSERVATIONS; JACKKNIFE ESTIMATE; PROPORTIONAL-HAZARDS; CONFIDENCE-INTERVALS; REGRESSION-ANALYSIS; MODELS; DIFFERENCE; BOOTSTRAP; TRIALS;
D O I
10.3390/stats3020010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Restricted Mean Survival Time (RMST) experiences a renaissance and is advocated as a model-free, easy to interpret alternative to proportional hazards regression and hazard rates with implication in causal inference. Estimation of RMST and associated variance is mainly done by numerical integration of Kaplan-Meier curves. In this paper we briefly review the two main alternatives to the Kaplan-Meier method; analysis based on pseudo-observations, and the flexible parametric survival method. Using computer simulations, we assess the efficacy of the three methods compared to a fully parametric approach where the distribution of survival times is known. Thereafter, the three methods are directly compared without any distributional assumption for the survival data. Generally, flexible parametric survival methods outperform both competitors, however the differences are small.
引用
收藏
页码:107 / 119
页数:13
相关论文
共 44 条
[1]   The central limit theorem under censoring [J].
Akritas, MG .
BERNOULLI, 2000, 6 (06) :1109-1120
[2]   BOOTSTRAPPING THE KAPLAN-MEIER ESTIMATOR [J].
AKRITAS, MG .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1986, 81 (396) :1032-1038
[3]   Pseudo-observations in survival analysis [J].
Andersen, Per Kragh ;
Perme, Maja Pohar .
STATISTICAL METHODS IN MEDICAL RESEARCH, 2010, 19 (01) :71-99
[4]   Generalised linear models for correlated pseudo-observations, with applications to multi-state models [J].
Andersen, PK ;
Klein, JP ;
Rosthoj, S .
BIOMETRIKA, 2003, 90 (01) :15-27
[5]  
Andersen PK, 2012, Statistical models based on counting processes
[6]   Inconsistency of the bootstrap when a parameter is on the boundary of the parameter space [J].
Andrews, DWK .
ECONOMETRICA, 2000, 68 (02) :399-405
[7]   The Jackknife estimate of covariance of two Kaplan-Meier integrals with covariables [J].
Azarang, Leyla ;
de Una-Alvarez, Jacobo ;
Stute, Winfried .
STATISTICS, 2015, 49 (05) :1005-1025
[8]  
Boos DD, 2013, SPRINGER TEXTS STAT, P27, DOI 10.1007/978-1-4614-4818-1_2
[10]  
DEHEUVELS P, 1993, ANN I H POINCARE-PR, V29, P83