References
- Vaupel JW, Manton KG, Stallard E. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography. 1979;16(3):439–454.
- Duchateau L, Janssen P. The frailty model. New York: Springer; 2008.
- McGilchrist CA, Aisbett CW. Regression with frailty in survival analysis. Biometrics. 1991;47(2):461–466.
- Balakrishnan N, Peng Y. Generalized gamma frailty model. Stat Med. 2006;25(16):2797–2816.
- Balakrishnan N, Liu K. Semi-parametric likelihood inference for Birnbaum–Saunders frailty model. Revstat Stat J. 2018;16(2):231–255.
- Desmond A. Stochastic models of failure in random environments. Canadian J Stat. 1985;13(3):171–183.
- Boag JW. Maximum likelihood estimates of the proportion of patients cured by cancer therapy. J R Stat Soc Ser B Methodol. 1949;11(1):15–53.
- Berkson J, Gage RP. Survival curve for cancer patients following treatment. J Am Stat Assoc. 1952;47(259):501–515.
- Peng Y, Zhang J. Identifiability of a mixture cure frailty model. Stat Probab Lett. 2008;78(16):2604–2608.
- Peng Y, Zhang J. Estimation method of the semiparametric mixture cure gamma frailty model. Stat Med. 2008;27(25):5177–5194.
- Aalen OO. Modelling heterogeneity in survival analysis by the compound Poisson distribution. Ann Appl Probab. 1992;2(4):951–972.
- Hougaard P. A class of multivanate failure time distributions. Biometrika. 1986;73(3):671–678.
- Hougaard P. Survival models for heterogeneous populations derived from stable distributions. Biometrika. 1986;73(2):387–396.
- Price DL, Manatunga AK. Modelling survival data with a cured fraction using frailty models. Stat Med. 2001;20(9–10):1515–1527.
- Rondeau V, Schaffner E, Corbière F, et al. Cure frailty models for survival data: application to recurrences for breast cancer and to hospital readmissions for colorectal cancer. Stat Methods Med Res. 2013;22(3):243–260.
- Pal S, Balakrishnan N. Expectation maximization algorithm for box–cox transformation cure rate model and assessment of model misspecification under weibull lifetimes. IEEE J Biomed Health Inform. 2018;22(3):926–934.
- Kersey JH, Weisdorf D, Nesbit ME, et al. Comparison of autologous and allogeneic bone marrow transplantation for treatment of high-risk refractory acute lymphoblastic leukemia. N Engl J Med. 1987;317(8):461–467.
- Maller RA, Zhou S. Testing for the presence of immune or cured individuals in censored survival data. Biometrics. 1995;51(4):1197–1205.
- Peng Y, Dear KBG, Carriere KC. Testing for the presence of cured patients: a simulation study. Stat Med. 2001;20(12):1783–1796.
- Zhang J, Peng Y. A new estimation method for the semiparametric accelerated failure time mixture cure model. Stat Med. 2007;26(16):3157–3171.
- Birnbaum ZW, Saunders SC. A new family of life distributions. J Appl Probab. 1969;6(2):319–327.
- Birnbaum ZW, Saunders SC. Estimation for a family of life distributions with applications to fatigue. J Appl Probab. 1969;6(2):328–347.
- Dupuis DJ, Mills JE. Robust estimation of the Birnbaum–Saunders distribution. IEEE Trans Reliab. 1998;47(1):88–95.
- From SG, Li L. Estimation of the parameters of the Birnbaum–Saunders distribution. Commun Stat Theory Methods. 2006;35(12):2157–2169.
- Lemonte AJ, Cribari-Neto F, Vasconcellos KLP. Improved statistical inference for the two-parameter Birnbaum–Saunders distribution. Comput Stat Data Anal. 2007;51(9):4656–4681.
- Ng HKT, Kundu D, Balakrishnan N. Modified moment estimation for the two-parameter Birnbaum–Saunders distribution. Comput Stat Data Anal. 2003;43(3):283–298.
- Ng HKT, Kundu D, Balakrishnan N. Point and interval estimation for the two-parameter Birnbaum–Saunders distribution based on type-II censored samples. Comput Stat Data Anal. 2006;50(11):3222–3242.
- Bhattacharyya GK, Fries A. Fatigue failure models – Birnbaum–Saunders vs. inverse Gaussian. IEEE Trans Reliab. 1982;31(5):439–441.
- Kundu D, Kannan N, Balakrishnan N. On the hazard function of Birnbaum–Saunders distribution and associated inference. Comput Stat Data Anal. 2008;52(5):2692–2702.
- Rieck JR, Nedelman JR. A log-linear model for the Birnbaum–Saunders distribution. Technometrics. 1991;33(1):51–60.
- Tsionas EG. Bayesian inference in Birnbaum–Saunders regression. Commun Stat Theory Methods. 2001;30(1):179–193.
- Xiao Q, Liu Z, Balakrishnan N, et al. Estimation of the Birnbaum–Saunders regression model with current status data. Comput Stat Data Anal. 2010;54(2):326–332.
- Balakrishnan N, Kundu D. Birnbaum–Saunders distribution: a review of models, analysis, and applications. Appl Stoch Models Bus Ind. 2019;35(1):4–132. (with discussions)
- Louis TA. Finding the observed information matrix when using the EM algorithm. J R Stat Soc Ser B Method. 1982;44(2):226–233.