加速失效时间模型下关于广义病例队列抽样功效计算的一个注记（英文）
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摘要
本文在加速失效时间模型下研究了广义病例队列抽样的功效计算问题.利用光滑加权Gehan估计方程方法估计了未知回归参数,研究了固定预算下广义病例队列抽样的功效计算.模拟研究和实际数据分析评估了提出方法在有限样本下的表现.
In this paper, we study the power calculation for the generalized case-cohort sampling. By using the smoothed weighted Gehan estimating equation method, we obtain the unbiased estimators of the unknown regression parameters in the accelerated failure time model. The simulation studies and the real data analysis show the good performances of the proposed method.
In this paper, we study the power calculation for the generalized case-cohort sampling. By using the smoothed weighted Gehan estimating equation method, we obtain the unbiased estimators of the unknown regression parameters in the accelerated failure time model. The simulation studies and the real data analysis show the good performances of the proposed method.
引文
[1]Prentice R L.A case-cohort design for epidemiologic cohort studies and disease prevention trials[J].Biometrika,1986,73(1):1-11.
[2]Self S G,Prentice R L.Asymptotic distribution theory and efficiency results for case-cohort studies[J].Ann.Stat.,1988,16(1):64-81.
[3]Chen K,Lo S H.Case-cohort and case-control analysis with Cox's model[J].Biometrika,1999,86(4):755-764.
[4]Kulich M,Lin D Y.Additive hazards regression with covariate measurement error[J].J.Amer.Stat.Assoc.,2000,95(449):238-248.
[5]Kong L,Cai J,Sen P K.Weighted estimating equations for semiparametric transformation models with censored data from a case-cohort design[J].Biometrika,2004,91(2):305-319.
[8]Kong L,Cai J.Case-cohort analysis with accelerated failure time model[J].Biometrics,2009,65(1):135-142.
[7]Chen K.Generalized case-cohort sampling[J].J.R.Stat.Soc.Ser.B Stat.Meth.,2001,63(4):791-809.
[8]Kang S,Cai J.Marginal hazards model for case-cohort studies with multiple disease outcomes[J].Biometrika,2009,96(4):887-901.
[9]Cao Y X,Yu J C,Liu Y Y.Optimal generalized case-cohort analysis with Cox's proportional hazards model[J].Acta Math.Appl.Sin.Engl.Ser.,2015,31(3):841-854.
[10]Cox D R.Regression models and life-tables(with discussion)[J].J.R.Stat.Soc.Ser.B Stat.Meth.,1972,34(2):187-220.
[11]Yu J C,Shi Y Y,Yang Q L,Liu Y Y.Additive hazards regression under generalized case-cohort sampling[J].Acta Math.Sin.Engl.Ser.,2014,30(2):251-260.
[12]Cao Y,Yu J.Optimal generalized case-cohort sampling design under the additive hazard model[J].Comm.Statist.The.Meth.,2017,46(9):4484-4493.
[13]Lin D,Ying Z.Semiparametric analysis of additive hazards model[J].Biometrika,1994,81(1):61-71.
[14]Chiou S H,Kang S,Yan J.Fast accelerated failure time modeling for case-cohort data[J].Stat.Comput.,2014,24(4):559-568.
[15]Cao Y,Yang Q,Yu J.Optimal generalized case-cohort analysis with accelerated failure time model[J].J.Korean Stat.Soc.,2017,46(2):298-307.
[16]Horvitz D G,Thompson D J.A generalization of sampling without replacement from a finite universe[J].J.Amer.Stat.Assoc.,1952,47(260):663-685.
[17]Brown B M,Wang Y G.Induced smoothing for rank regression with censored survival times[J].Stat.Med.,2007,26:828-836.
[2]Self S G,Prentice R L.Asymptotic distribution theory and efficiency results for case-cohort studies[J].Ann.Stat.,1988,16(1):64-81.
[3]Chen K,Lo S H.Case-cohort and case-control analysis with Cox's model[J].Biometrika,1999,86(4):755-764.
[4]Kulich M,Lin D Y.Additive hazards regression with covariate measurement error[J].J.Amer.Stat.Assoc.,2000,95(449):238-248.
[5]Kong L,Cai J,Sen P K.Weighted estimating equations for semiparametric transformation models with censored data from a case-cohort design[J].Biometrika,2004,91(2):305-319.
[8]Kong L,Cai J.Case-cohort analysis with accelerated failure time model[J].Biometrics,2009,65(1):135-142.
[7]Chen K.Generalized case-cohort sampling[J].J.R.Stat.Soc.Ser.B Stat.Meth.,2001,63(4):791-809.
[8]Kang S,Cai J.Marginal hazards model for case-cohort studies with multiple disease outcomes[J].Biometrika,2009,96(4):887-901.
[9]Cao Y X,Yu J C,Liu Y Y.Optimal generalized case-cohort analysis with Cox's proportional hazards model[J].Acta Math.Appl.Sin.Engl.Ser.,2015,31(3):841-854.
[10]Cox D R.Regression models and life-tables(with discussion)[J].J.R.Stat.Soc.Ser.B Stat.Meth.,1972,34(2):187-220.
[11]Yu J C,Shi Y Y,Yang Q L,Liu Y Y.Additive hazards regression under generalized case-cohort sampling[J].Acta Math.Sin.Engl.Ser.,2014,30(2):251-260.
[12]Cao Y,Yu J.Optimal generalized case-cohort sampling design under the additive hazard model[J].Comm.Statist.The.Meth.,2017,46(9):4484-4493.
[13]Lin D,Ying Z.Semiparametric analysis of additive hazards model[J].Biometrika,1994,81(1):61-71.
[14]Chiou S H,Kang S,Yan J.Fast accelerated failure time modeling for case-cohort data[J].Stat.Comput.,2014,24(4):559-568.
[15]Cao Y,Yang Q,Yu J.Optimal generalized case-cohort analysis with accelerated failure time model[J].J.Korean Stat.Soc.,2017,46(2):298-307.
[16]Horvitz D G,Thompson D J.A generalization of sampling without replacement from a finite universe[J].J.Amer.Stat.Assoc.,1952,47(260):663-685.
[17]Brown B M,Wang Y G.Induced smoothing for rank regression with censored survival times[J].Stat.Med.,2007,26:828-836.