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Volume 47, 2013 - Issue 5
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Original Articles

Nonparametric estimation of quality adjusted lifetime distribution in a simple illness-death model

, &
Pages 1030-1046 | Received 22 Sep 2009, Accepted 24 Feb 2012, Published online: 05 Apr 2012

References

  • Goldhirsch , A. , Gelber , R. D. , Simes , R. J. , Glasziou , P. and Coates , A. 1989 . For the ludwig breast cancer study group, costs and benefits of adjuvant therapy in breast cancer: A quality adjusted survival analysis . J. Clin. Oncol. , 7 : 36 – 44 .
  • Gelber , R. D. , Gelmnen , R. S. and Goldhirsch , A. 1989 . A quality-of-life-oriented endpoint for comparing therapies . Biometrics , 45 : 781 – 795 . (doi:10.2307/2531683)
  • Pradhan , B. and Dewanji , A. 2009 . On induced dependent censoring for quality adjusted lifetime (QAL) data in simple illness-death model . Statist. Probab. Lett. , 79 : 2170 – 2176 . (doi:10.1016/j.spl.2009.07.010)
  • Korn , E. L. 1993 . On estimating the distribution function for quality of life in cancer clinical trials . Biometrika , 80 : 535 – 542 . (doi:10.1093/biomet/80.3.535)
  • Zhao , H. and Tsiatis , A. A. 1997 . A consistent estimator for the distribution of quality adjusted survival time . Biometrika, , 84 : 339 – 348 . (doi:10.1093/biomet/84.2.339)
  • 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 .
  • Huang , Y. and Louis , T. A. 1998 . Nonparametric estimation of the joint distribution of survival time and mark variables . Biometrika , 85 : 785 – 798 . (doi:10.1093/biomet/85.4.785)
  • Zhao , H. and Tsiatis , A. A. 1999 . Efficient estimation of the distribution of quality adjusted survival time . Biometrics , 55 : 1101 – 1107 . (doi:10.1111/j.0006-341X.1999.01101.x)
  • van der Laan , M. J. and Hubbard , A. 1999 . Locally efficient estimation of the quality-adjusted lifetime distribution with right-censored data and covariates . Biometrics , 55 : 530 – 536 . (doi:10.1111/j.0006-341X.1999.00530.x)
  • Strawderman , R. L. 2000 . Estimating the mean of an increasing stochastic process at a censored stopping time . J. Amer. Statist. Assoc. , 95 : 1192 – 1208 . (doi:10.1080/01621459.2000.10474320)
  • Huang , Y. and Louis , T. A. 1999 . Expressing estimators of expected quality adjusted survival as functions of Nelson–Aalen estimators . Lifetime Data Anal. , 5 : 199 – 212 . (doi:10.1023/A:1009657629713)
  • Zhao , H. and Tsiatis , A. A. 2000 . Estimating mean quality adjusted lifetime with censored data . Sankhyā, Ser. B: Special Issue on Biostatistics , 62 : 175 – 188 .
  • Chen , P. L. and Sen , P. K. 2001 . Quality-adjusted survival estimation with periodic observations . Biometrics , 57 : 868 – 874 . (doi:10.1111/j.0006-341X.2001.00868.x)
  • Pradhan , B. , Dewanji , A. and Sengupta , D. 2010 . Parametric estimation of quality adjusted lifetime (QAL) distribution in simple illness-death model . Commun. Statist.: Theory and Methods , 39 : 77 – 93 .
  • Pradhan , B. and Dewanji , A. 2009 . Parametric estimation of quality adjusted lifetime (QAL) distribution in progressive illness-death model . Statist. Med. , 12 : 2012 – 2027 . (doi:10.1002/sim.3556)
  • Almanassra , M. , Wang , J. and Jeyaratnam , S. 2005 . Monotonic estimators for the survival function of quality adjusted lifetime . Commun. Statist.: Theory and Methods , 34 : 1217 – 1231 . (doi:10.1081/STA-200056797)
  • Lin , D. Y. , Sun , W. and Ying , Z. 1999 . Nonparametric estimation of the gap time distributions for serial events with censored data . Biometrika , 86 : 59 – 70 . (doi:10.1093/biomet/86.1.59)
  • Little , R. J.A. and Rubin , D. B. 1987 . “ Statistical Analysis with Missing Data ” . New York : Wiley .
  • Dempster , A. P. , Laird , M. N. and Rubin , D. B. 1977 . Maximum likelihood estimation from incomplete data via the EM algorithm . J. R. Statist. Soc. Ser. B , 39 : 1 – 22 .
  • Crowley , J. and Hu , M. 1977 . Covariance analysis of heart transplant survival data . J. Amer. Statist. Assoc. , 72 : 27 – 36 . (doi:10.1080/01621459.1977.10479903)
  • Pradhan , B. , Dewanji , A. and Goswami , A. 2009 . “ Nonparametric estimation of quality adjusted lifetime distribution in a simple illness-death model ” . Kolkata : Indian Statistical Institute . Technical Report No. ASD/2009/1, Applied Statistics Division
  • Frydman , H. 1992 . A nonparametric estimation procedure for a periodically observed three state Markov process, with application to Aids . J. R. Statist. Soc. Ser. B , 54 : 653 – 856 .
  • Frydman , H. 1995 . Semiparametric estimation in a three state duration dependent Markov model from interval-censored observations with application to AIDS data . Biometrics , 51 : 502 – 511 . (doi:10.2307/2532938)
  • de U na-Àlvarez , J. and Meira-Machado , L. F. 2008 . A simple estimator of the bivariate distribution function for censored gap times . Statist. Probab. Lett. , 78 : 2440 – 2445 . (doi:10.1016/j.spl.2008.02.031)
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical Process with Application to Statistics , New York : Wiley .
  • Apostol , T. M. 1989 . Mathematical Analysis , New Delhi : Narosa Publishing House .
  • Parzen , E. 1962 . Stochastic Process , San Francisco , CA : Holden-Day Inc .

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