Inference on quantile residual life function under right-censored data

References

• Andersen, P.K., and Gill, R.D. (1982), ‘Cox's Regression Model for Counting Processes: A Large Sample Study’, The Annals of Statistics, 10, 1100–1120. doi: 10.1214/aos/1176345976
   Web of Science ®Google Scholar
• Berger, R.L., Boos, D.D., and Guess, F.M. (1988), ‘Tests and Confidence Sets for Comparing Two Mean Residual Life Functions’, Biometrics, 44, 103–115. doi: 10.2307/2531899
   PubMed Web of Science ®Google Scholar
• Breslow, N.E. (1972), ‘Discussion of Paper of D. R. Cox’, Journal of the Royal Statistical Society (Series B), 34, 216–217.
   Google Scholar
• Chen, Y.-Y., Hollander, M., and Langberg, N.A. (1983), ‘Tests for Monotone Mean Residual Life, Using Randomly Censored Data’, Biometrics, 39, 119–127. doi: 10.2307/2530812
   PubMed Web of Science ®Google Scholar
• Chen, Y.Q., Jewell, N.P, Lei, X., and Cheng, S.C. (2005), ‘Semiparametric Estimation of Proportional Mean Residual Life Model in Presence of Censoring’, Biometrics, 61, 170–178. doi: 10.1111/j.0006-341X.2005.030224.x
   PubMed Web of Science ®Google Scholar
• Chiang, C.L. (1960), ‘A Stochastic Study of the Life Table and Its Applications: I. Probability Distributions of the Biometric Functions’, Biometrics, 16, 618–635. doi: 10.2307/2527766
   Web of Science ®Google Scholar
• Cox, D.R. (1972), ‘Regression Models and Life-Tables (with discussion)’, Journal of the Royal Statistical Society (Series B), 34, 187–220.
   Google Scholar
• Cox, D.R. (1975), ‘Partial Likelihood’, Biometrika, 62, 269–276. doi: 10.1093/biomet/62.2.269
   Web of Science ®Google Scholar
• Dabrowska, D.M. (1989), ‘Uniform Consistency of the Kernel Conditional Kaplan–Meier Estimate’, Annals of Statistics, 17, 1157–1167. doi: 10.1214/aos/1176347261
   Web of Science ®Google Scholar
• Feng, Z., and Kulasekera, K.B. (1991), ‘Nonparametric Estimation of the Percentile Residual Life Function’, Communications in Statistics Theory and Methods, 20, 87–105. doi: 10.1080/03610929108830485
   Web of Science ®Google Scholar
• Franco-Pereira, A.M., Lillo, R.E., and Romo, J. (2012), ‘Comparing Quantile Residual Life Functions by Confidence Bands’, Lifetime Data Analysis, 18, 195–214. doi: 10.1007/s10985-011-9208-y
   PubMed Web of Science ®Google Scholar
• Franco-Pereira, A.M., Lillo, R.E., Romo, J., and Shaked, M. (2011), ‘Percentile Residual Life Orders’, Applied Stochastic Models in Business and Industry, 27, 235–252. doi: 10.1002/asmb.825
   Web of Science ®Google Scholar
• Franco-Pereira, A.M., and Uña-Álvarez, J. (2013), ‘Estimation of a Monotone Percentile Residual Life Function under Random Censorship’, Biometrical Journal, 55, 52–67. doi: 10.1002/bimj.201100199
   PubMed Web of Science ®Google Scholar
• Gelfand, A.E., and Kottas, A. (2003), ‘Bayesian Semiparametric Regression for Median Residual Life’, The Scandinavian Journal of Statistics, 30, 651–665. doi: 10.1111/1467-9469.00356
   Web of Science ®Google Scholar
• Gonzalez-Manteiga, W., and Cadarso-Suarez, C. (1994), ‘Asymptotic Properties of a Generalised Kaplan–Meier Estimator with Some Applications’, Journal of Nonparametric Statistics, 4, 65–78. doi: 10.1080/10485259408832601
   Google Scholar
• Gupta, R.C., and Langford, E.S. (1984), ‘On the Determination of a Distribution by its Median Residual Life Function: A Functional Equation’, Journal of Applied Probability, 21, 120–128. doi: 10.2307/3213670
   Web of Science ®Google Scholar
• Jackson, D., White, I., Seaman, S., Evans, H., Baisley, K., and Carpenter, J. (2014), ‘Relaxing the Independent Censoring Assumption in the Cox Proportional Hazards Model Using Multiple Imputation’, Statistics in Medicine (published on line, DOI:doi:10.1002/sim.6274).
   Web of Science ®Google Scholar
• Jeong, J.-H., and Fine, J.P. (2009), ‘A Note on Cause-Specific Residual Life’, Biometrika, 96, 237–242. doi: 10.1093/biomet/asn063
   Web of Science ®Google Scholar
• Jeong, J.-H., and Fine, J.P. (2013), ‘Nonparametric Inference on Cause-Specific Quantile Residual Life’, Biometrical Journal, 55, 68–81. doi: 10.1002/bimj.201100190
   PubMed Web of Science ®Google Scholar
• Jeong, J.-H., S. -H. Jung, and Costantino, J.P. (2008), ‘Nonparametric Inference on Median Residual Life Function’, Biometrics, 64, 157–163. doi: 10.1111/j.1541-0420.2007.00826.x
   PubMed Web of Science ®Google Scholar
• Jung, S.-H., J. -H. Jeong, and Bandos, H. (2009), ‘Regression on Quantile Residual Life’, Biometrics, 65, 1203–1212. doi: 10.1111/j.1541-0420.2009.01196.x
   PubMed Web of Science ®Google Scholar
• Kaplan, E.L., and Meier, P. (1958), ‘Nonparametric Estimation from Incomplete Observations’, Journal of American Statistical Association, 53, 457–481. doi: 10.1080/01621459.1958.10501452
   Web of Science ®Google Scholar
• Lee, S. (1996), ‘Power Calculation for a Score Test in the Dependent Censoring Model’, Statistics in Medicine, 15, 1049–1058. doi: 10.1002/(SICI)1097-0258(19960530)15:10<1049::AID-SIM216>3.0.CO;2-C
   PubMed Web of Science ®Google Scholar
• Lee, S., and Wolfe, R.A. (1995), ‘A Class of Linear Nonparametric Rank Tests for Dependent Censoring’, Communications in Statistics – Theory and Methods, 24, 687–712. doi: 10.1080/03610929508831517
   Web of Science ®Google Scholar
• Lee, S.-Y., and Wolfe, R.A. (1998), ‘A Simple Test for Independent Censoring under the Proportional Hazards Model’, Biometrics, 54, 1176–1182. doi: 10.2307/2533867
   PubMed Web of Science ®Google Scholar
• Ma, Y., and Yin, G. (2010), ‘Semiparametric Median Residual Life Model and Inference’, Canadian Journal of Statistics, 34, 665–679. doi: 10.1002/cjs.10076
   Web of Science ®Google Scholar
• Morris, C., Norton, E., and Zhou, X. (1994), ‘Parametric Duration Analysis of Nursing Home Usage’, in Case Studies in Biometry, eds. N. Lange, L. Ryan, L. Billard, D. Brillinger, L. Conquests and J. Greenhouse, New York: Wiley, pp. 231–248.
   Google Scholar
• Muenchow, G. (1986), ‘Ecological Use of Failure Time Analysis’, Ecology, 67, 246–250. doi: 10.2307/1938524
   Web of Science ®Google Scholar
• Oakes, D., and Dasu, T. (1990), ‘A Note on Residual Life’, Biometrika, 77, 409–410. doi: 10.1093/biomet/77.2.409
   Web of Science ®Google Scholar
• Redelmeier, D.A., and Singh, S.M. (2001), ‘Survival in Academy Award-Winning Actors and Actresses’, Annals of Internal Medicine, 134, 955–962. doi: 10.7326/0003-4819-134-10-200105150-00009
   PubMed Web of Science ®Google Scholar
• Saïd, M., Ghazzalli, N., and Rivest, L.P. (2003), ‘Score Tests for Dependent Censoring with Survival Data’, Lecture Notes-Monograph Series, 42, 435–461.
   Google Scholar
• Schmittlein, D.C., and D.G. Morrison (1981), ‘On Individual-Level Inference in Job Duration Research: A Reexamination of the Wisconsin School Superintendents Study’, Administrative Science Quarterly, 26, 84–89. doi: 10.2307/2392601
   Web of Science ®Google Scholar
• Sylvestre, M.-P., Hustzi, E., and Hanley, J. (2006), ‘Do Oscar Winners Live Longer Than Less Successful Peers? A Reanalysis of the Evidence’, Annals of Internal Medicine, 145, 361–363. doi: 10.7326/0003-4819-145-5-200609050-00009
   PubMed Web of Science ®Google Scholar
• Tsiatis, A.A. (1975), ‘A Nonidentifiability Aspect of the Problem of Competing Risks’, Proceedings of the National Academy of Sciences, U.S.A., 72, 20–22. doi: 10.1073/pnas.72.1.20
   PubMed Web of Science ®Google Scholar
• Wolkewitz, M., Allignol, A., Schumacher, M., and Beyersmann, J. (2010), ‘Two Pitfalls in Survival Analyses of Time-Dependent Exposure: A Case Study in a Cohort of Oscar Nominees’, The American Statistician, 64, 205–211. doi: 10.1198/tast.2010.08259
   Web of Science ®Google Scholar
• Zeng, D., and Lin, D.Y. (2008), ‘Efficient Resampling Methods for Nonsmooth Estimating Functions’, Biostatistics, 9, 355–363. doi: 10.1093/biostatistics/kxm034
   PubMed Web of Science ®Google Scholar