加法风险率模型下聚类的当前状态数据的回归分析（英文）
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摘要
本文研究了加法风险率模型下聚类的当前状态数据(Ⅰ型区间删失数据)的回归分析问题.在相关的失效时间数据与簇类的规模有关的情形下,本文提出了一个簇内再抽样方法,并在一些正则条件下给出了相应估计量的极限分布理论.最后通过模拟实验验证了估计量的有限样本行为.
In this paper, we discuss regression analysis of clustered current status data under the additive hazards model. Under the situation when the correlated failure times of interest may be related to cluster sizes, by proposing a within-cluster resampling(WCR) method, the limit distribution theory for the corresponding estimators are derived under some regularity conditions.Some simulation studies are conducted to assess the finite-sample behaviors of the estimators.
In this paper, we discuss regression analysis of clustered current status data under the additive hazards model. Under the situation when the correlated failure times of interest may be related to cluster sizes, by proposing a within-cluster resampling(WCR) method, the limit distribution theory for the corresponding estimators are derived under some regularity conditions.Some simulation studies are conducted to assess the finite-sample behaviors of the estimators.
引文
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[3]Huang J.Efficient estimation for the proportional hazards model with interval censoring[J].Ann.Stat.,1996,24:540–568.
[4]Rossini A J,Tsiatis A A.A semiparametric proportional odds regression model for the analysis of current status data[J].J.Amer.Stat.Assoc.,1996,91:713–721.
[5]Chen L,Sun J.A multiple imputation approach to the analysis of current status data with the additive hazards model[J].Comm.Stat.The.Meth.,2009,38:1009–1018.
[6]Sun J,Shen J.Efficient estimation for the proportional hazards model with competing risks and current status data[J].Canad.J.Stat.,2009,37:592–606.
[7]Hu T,Xiang L.Efficient estimation for semiparametric cure models with interval-censored data[J].J.Multi.Anal.,2013,121:139–151.
[8]Lin D,Oakes D,Ying Z.Additive hazards regression with current status data[J].Biom.,1998,85:289–298.
[9]Dunson D B,Chen Z,Harry J.Bayesian joint models of cluster size and subunitspecific outcomes[J].Biom.,2003,63:663–672.
[10]Williamson J,Kim H Y,Manathuga A,Addiss D G.Modeling survival data with informative cluster size[J].Stat.Med.,2008,27:543–555.
[11]Cong X,Yin G,Shen Y.Marginal analysis of correlated failure time data with informative cluster sizes[J].Biom.,2007,63:663–672.
[12]Lin D,Ying Z.Semiparametric analysis of the additive risk model[J].Biom.,1994,81:61–71.
[13]Hoffman E B,Sen P K,Weinberg C R.Within cluster resampling[J].Biom.,2001,88:1121–1134.
[14]Xiao Z,Zhu Q.Moderate deviation of maximum likelihood estimators for truncated and censored data[J].J.Math.,2009,29(3):273–278.
[2]Jewell N P,van der Laan M.Generalizations of current status data with applications[J].Lifetime Data Anal.,1995,1:101–110.
[3]Huang J.Efficient estimation for the proportional hazards model with interval censoring[J].Ann.Stat.,1996,24:540–568.
[4]Rossini A J,Tsiatis A A.A semiparametric proportional odds regression model for the analysis of current status data[J].J.Amer.Stat.Assoc.,1996,91:713–721.
[5]Chen L,Sun J.A multiple imputation approach to the analysis of current status data with the additive hazards model[J].Comm.Stat.The.Meth.,2009,38:1009–1018.
[6]Sun J,Shen J.Efficient estimation for the proportional hazards model with competing risks and current status data[J].Canad.J.Stat.,2009,37:592–606.
[7]Hu T,Xiang L.Efficient estimation for semiparametric cure models with interval-censored data[J].J.Multi.Anal.,2013,121:139–151.
[8]Lin D,Oakes D,Ying Z.Additive hazards regression with current status data[J].Biom.,1998,85:289–298.
[9]Dunson D B,Chen Z,Harry J.Bayesian joint models of cluster size and subunitspecific outcomes[J].Biom.,2003,63:663–672.
[10]Williamson J,Kim H Y,Manathuga A,Addiss D G.Modeling survival data with informative cluster size[J].Stat.Med.,2008,27:543–555.
[11]Cong X,Yin G,Shen Y.Marginal analysis of correlated failure time data with informative cluster sizes[J].Biom.,2007,63:663–672.
[12]Lin D,Ying Z.Semiparametric analysis of the additive risk model[J].Biom.,1994,81:61–71.
[13]Hoffman E B,Sen P K,Weinberg C R.Within cluster resampling[J].Biom.,2001,88:1121–1134.
[14]Xiao Z,Zhu Q.Moderate deviation of maximum likelihood estimators for truncated and censored data[J].J.Math.,2009,29(3):273–278.
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