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Theory and Method

Estimating the Mean of an Increasing Stochastic Process at a Censored Stopping Time

Pages 1192-1208 | Published online: 17 Feb 2012

References

  • Andersen , P. K. , Borgan , O. , Gill , R. D. and Keiding , N. 1993 . Statistical Models Based on Counting Processes , New York : Springer .
  • Ash , R. 1972 . Real Analysis and Probability , New York : Academic Press .
  • Brémaud , P. 1981 . Point Processes and Queues: Martingale Dynamics , New York : Springer .
  • Casella , G. and Robert , C. P. 1998 . “Post-Processing Accept-Reject Samples: Recycling and Rescaling” . Journal of Computational and Graphical Statistics , 7 : 139 – 157 .
  • Cook , R. and Lawless , J. F. 1997 . “Marginal Analysis of Recurrent Events and a Terminating Event” . Statistics in Medicine , 16 : 911 – 924 .
  • Fleming , T. R. and Harrington , D. P. 1991 . Counting Processes and Survival Analysis , New York : Wiley .
  • Gill , R. 1980 . Censoring and Stochastic Integrals , Amsterdam : Mathematisch Centrum . Mathematical Centre Tracts No. 124
  • Kooperberg , C. , Stone , C. and Truong , Y. K. 1995 . “Hazard Regression” . Journal of the American Statistical Association , 90 : 78 – 94 .
  • Hesterberg , T. 1995 . “Weighted Average Importance Sampling and Defensive Mixture Distributions” . Technometrics , 37 : 185 – 194 .
  • Lin , D. Y. , Feuer , E. J. , Etzioni , R. and Wax , Y. 1997 . “Estimating Medical Costs From Incomplete Follow-Up Data” . Biometrics , 53 : 419 – 434 .
  • Nadeau , C. and Lawless , J. F. 1998 . “Inference for Means and Covariances of Point Processes Through Estimating Functions” . Biometrika , 85 : 893 – 906 .
  • Pollard , D. Empirical Processes: Theory and Applications . NSF-CBMS Regional Conference Series in Probability and Statistics, Vol. 2 . Hayward , CA : Institute of Mathematical Statistics .
  • Robins , J. M. 1996 . “Locally Efficient Median Regression With Random Censoring and Surrogate Markers,” . In Lifetime Data: Models in Reliability and Survival Analysis , Edited by: Jewell , N. P. , Kimber , A. C. , Lee , M.L. Ting and Whitmore , G. A. 263 – 274 . Dordrecht : Kluwer .
  • Robins , J. M. and Rotnitzky , A. 1992 . “Recovery of Information and Adjustment for Dependent Censoring Using Surrogate Markers,” . In AIDS Epidemiology–Methodological Issues , Edited by: Jewell , N. , Dietz , K. and Farewell , V. 297 – 331 . Boston : Birkhauser .
  • Rotnitzky , A. , Robins , J. M. and Scharfstein , D. 1998 . “Semiparametric Regression for Repeated Outcomes With Nonignorable Nonresponse” . Journal of the American Statistical Association , 93 : 1321 – 1339 .
  • Scharfstein , D. , Rotnitzky , A. and Robins , J. M. 1999 . “Adjusting for Nonignorable Dropout Using Semiparametric Nonresponse Models” . Journal of the American Statistical Association , 94 : 1096 – 1146 . (with discussion)
  • van der Laan , M. and Hubbard , A. 1999 . “Locally Efficient Estimation of the Quality-Adjusted Lifetime Distribution With Right-Censored Data and Covariates” . Biometrics , 55 : 530 – 536 .
  • van der Laan , M. and Robins , J. M. 1998 . “Locally Efficient Estimation With Current Status Data and High-Dimensional Covariates” . Journal of the American Statistical Association , 93 : 693 – 701 .
  • Zhao , H. and Tsiatis , A. A. 1997 . “A Consistent Estimator for the Distribution of Quality-Adjusted Survival Time” . Biometrika , 84 : 339 – 348 .
  • Zhao , H. and Tsiatis , A. A. 1999 . “Efficient Estimation of the Distribution of Quality-Adjusted Survival Time” . Biometrics , 55 : 231 – 236 .
  • Zhao , H. and Tsiatis , A. A. “Estimating Mean Quality-Adjusted Lifetime With Censored Data” . Sankyha , 62 (in press), Ser. B

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