Accelerated hazards mixture cure model

Jiajia Zhang1, Yingwei Peng2
1Department of Epidemiology and Biostatistics, University of South Carolina, Columbia, USA
2Departments of Community Health and Epidemiology and Mathematics and Statistics, Cancer Care and Epidemiology, Cancer Research Institute, Queen’s University, Kingston, Canada

Tóm tắt

Từ khóa


Tài liệu tham khảo

Berkson J, Gage RP (1952) Survival curve for cancer patients following treatment. J Am Stat Assoc 47: 501–515

Breslow N (1974) Covariance analysis of censored survival data. Biometrics 30: 89–99

Chen YQ (2001) Accelerated hazards regression model and its adequacy for censored survival data. Biometrics 57: 853–860

Chen YQ, Wang MC (2000) Analysis of accelerated hazards models. J Am Stat Assoc 95: 608–618

Fang HB, Li G, Sun J (2005) Maximum likelihood estimation in a semiparametric logistic/proportional-hazards mixture model. Scand J Stat Theory Appl 32: 59–75

Farewell VT (1982) The use of mixture models for the analysis of survival data with long-term survivors. Biometrics 38(4): 1041–1046

Jin Z, Lin DY, Wei LJ, Ying Z (2003) Rank-based inference for the accelerated failure time model. Biometrika 90: 341–353

Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data. John Wiley & Sons, Hoboken

Kuk AYC, Chen CH (1992) A mixture model combining logistic regression with proportional hazards regression. Biometrika 79(3): 531–541

Li CS, Taylor JMG (2002) A semi-parametric accelerated failure time cure model. Stat Med 21: 3235–3247

Louis TA (1982) Finding the observed information matrix when using the EM algorithm. J R Stat Soc Ser B 44: 226–233

Meilijson I (1989) A fast improvement to the EM algorithm on its own terms. J R Stat Soc Ser B 51: 127–138

Peng Y, Dear KBG (2000) A nonparametric mixture model for cure rate estimation. Biometrics 56(1): 237–243

Peng Y, Dear KBG, Denham JW (1998) A generalized F mixture model for cure rate estimation. Stat Med 17: 813–830

Ritov Y (1990) Estimation in a linear regression model with censored data. Ann Stat 18: 303–328

Surveillance and Epidemiology and End Results (SEER) Program ( www.seer.cancer.gov ), Limited-Use Data (1973–2005) National Cancer Institute, DCCPS, Surveillance Research Program, Cancer Statistics Branch, released April 2008, based on the November 2007 submission

Sy JP, Taylor JMG (2000) Estimation in a Cox proportional hazards cure model. Biometrics 56(1): 227–236

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

Zhang J, Peng Y (2007) A new estimation method for the semiparametric accelerated failure time mixture cure model. Stat Med 26: 3157–3171