Piecewise Linear Approximations for Cure Rate Models and Associated Inferential Issues
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Arbutiski T (1985) A family of multiplicative survival models incorporating a long-term survivorship parameter c as a function of covariates. Comm Stat Theo Meth 14:1627–1642
Balakrishnan N, Pal S (2012) EM algorithm-based likelihood estimation for some cure rate models. J Stat Theo Prac 6:698–724
Balakrishnan N, Pal S (2013a) Lognormal lifetimes and likelihood-based inference for flexible cure rate models based on COM-Poisson family. Comput Stat Data Anal 67:41–67
Balakrishnan N, Pal S (2013b) Expectation maximization-based likelihood inference for flexible cure rate models with Weibull lifetimes. Stat Methods Med Res. doi: 10.1177/0962280213491641 . available online
Balakrishnan N, Pal S (2013c) COM-Poisson cure rate models and associated likelihood-based inference with exponential and Weibull lifetimes. In: Balakrishnan N., Pal S (eds) Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference, Chapter 22. Wiley, UK, pp 308–348
Berkson J, Gage RP (1952) Survival curves for cancer patients following treatment. J Am Stat Assoc 47:501–515
Betensky RA, Schoenfeld DA (2001) Nonparametric estimation in a cure model with random cure times. Biometrics 57:282–286
Boag JM (1949) Maximum likelihood estimates of the proportion of patients cured by cancer therapy. J R Stat Soc Ser B 11:15–44
Broet P, Rycke Y, Tubert-Bitter P, Lellouch J, Asselain B, Moreau T (2001) A semiparametric approach for the two-sample comparison of survival times with long-term survivors. Biometrics 57:844–852
Cantor AB, Shuster JJ (1992) Parametric versus non-parametric methods for estimating cure rates based on censored survival data. Stat Med 11:931–937
Castro MD, Cancho VG, Rodrigues J (2009) A Bayesian long-term survival model parametrized in the cured fraction. Biom J 51:443–455
Chen MH, Ibrahim JG (2001) Maximum likelihood methods for cure rate models with missing covariates. Biometrics 57:43–52
Chen MH, Ibrahim JG, Sinha D (1999) A new Bayesian model for survival data with a surviving fraction. J Am Stat Assoc 94:909–919
de Freitas LA, Rodrigues J (2013) Standard exponential cure rate model with informative censoring. Comm Stat Sim Comp 42:8–23
Fang HB, Li G, Sun J (2005) Maximum likelihood estimation in a semiparametric logistic/proportional-hazards mixture model. Scand J Stat 32:59–75
Farewell VT (1977) A model for a binary variable with time-censored observations. Biometrika 64:43–46
Farewell VT (1982) The use of mixture models for the analysis of survival data with long-term survivors. Biometrics 38:1041–1046
Farewell VT (1986) Mixture models in survival analysis: are they worth the risk Can J Stat 14:257–262
Ghitany ME (1993) On the information matrix of exponential mixture models with long-term survivors. Biom J 35:15–27
Ghitany ME, Maller RA (1992) Asymptotic results for exponential mixture models with long-term survivors. Statistics 23:321–336
Goldman AI (1984) Survivorship analysis when cure is a possibility: a Monte Carlo study. Stat Med 3:153–163
Hu T, Xiang L (2013) Efficient estimation for semiparametric cure models with interval-censored data. J Multivar Anal 121:139–151
Ibrahim JG, Chen MH, Sinha D (2001) Bayesian semiparametric models for survival data with a cure fraction. Biometrics 57:383–388
Kim S, Chen MH, Dey DK, Gamerman D (2007) Bayesian dynamic models for survival data with a cure fraction. Lifetime Data Anal 13:17–35
Kim S, Xi Y, Chen MH (2009) A new latent cure rate marker model for survival data. Ann Appl Stat 3:1124–1146
Kuk AY, Chen CH (1992) A mixture model combining logistic regression with proportional hazards regression. Biometrika 79:531–541
Larson MG, Dinse GE (1985) A mixture model for the regression analysis of competing risks data. Appl Stat 34:201–211
Laska EM, Meisner MJ (1992) Nonparametric estimation and testing in a cure model. Biometrics 48:1223–1234
Liu H, Shen Y (2009) A semiparametric regression cure model for interval-censored data. J Am Stat Assoc 104:1168–1178
Liu M, Lu W, Shao Y (2006) Interval mapping of quantitative trait loci for time-to-event data with the proportional hazards mixture cure model. Biometrics 62:1053–1061
Lo YC, Taylor JM, McBride WH, Withers HR (1993) The effect of fractionated doses of radiation on mouse spinal cord. Int J Radiat Oncol Biol Phys 27:309–317
Lu W (2008) Maximum likelihood estimation in the proportional hazards cure model. Ann Inst Stat Math 60:545–574
Maller RA, Zhou X (1992) Estimating the proportion of immunes in a censored sample. Biometrika 79:731–739
Maller RA, Zhou X (1996) Survival Analysis with Long-term Survivors. Wiley, New York
Maller RA, Zhou S (1995) Testing for the presence of immune or cured individuals in censored survival data. Biometrics 1197–1205
Peng Y, Dear KB (2000) A nonparametric mixture model for cure rate estimation. Biometrics 56:237–243
Peng Y, Dear KB, Denham JW (1998) A generalized F mixture model for cure rate estimation. Stat Med 17:813–830
Rodrigues J, de Castro M, Balakrishnan N, Cancho V G (2011) Destructive weighted Poisson cure rate models. Lifetime Data Anal 17:333–346
Rodrigues J, Cancho V G, de Castro M, Louzada-Neto F (2009) On the unification of long-term survival models. Stat Prob Lett 79:753–759
Sposto R, Sather HN, Baker SA (1992) A comparison of tests of the difference in the proportion of patients who are cured. Biometrics 48:87–99
Struthers CA, Farewell VT (1989) A mixture model for time to AIDS data with left truncation and an uncertain origin. Biometrika 76:814–817
Sy JP, Taylor JM (2001) Standard errors for the Cox proportional hazards cure model. Math Comput Model 33:1237–1251
Tournoud M, Ecochard R (2008) Promotion time models with time-changing exposure and heterogeneity: application to infectious diseases. Biom J 50:395–407
Tsodikov A (1998a) A proportional hazards model taking account of long-term survivors. Biometrics:1508–1516
Tsodikov A (1998b) Asymptotic efficiency of a proportional hazards model with cure. Stat Prob Lett 39:237–244
Tsodikov A (2001) Estimation of survival based on proportional hazards when cure is a possibility. Math Comput Model 33:1227–1236
Tsodikov AD, Ibrahim JG, Yakovlev AY (2003) Estimating cure rates from survival data. J Am Stat Assoc 98:1063–1078
Yakovlev AY, Cantor AB, Shuster JJ (1994) Parametric versus non-parametric methods for estimating cure rates based on censored survival data. Stat Med 13:983–986
Yakovlev AY, Tsodikov AD (1996) Stochastic Models of Tumor Latency and their Biostatistical Applications (Vol 1). World Scientific, Singapore
Yamaguchi K (1992) Accelerated failure-time regression models with a regression model of surviving fraction: an application to the analysis of “permanent employment” in Japan. J Am Stat Assoc 87:284–292