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de Oliveira, R. P., Achcar, J. A., Peralta, D., & Mazucheli, J. (2018). Discrete and continuous bivariate lifetime models in presence of cure rate: a comparative study under Bayesian approach, Journal of Applied Statistics.
http://dx.doi.org/10.1080/02664763.2018.1495701
A few errors were identified in Sections 2.1 to 2.4 and , which have now been corrected.
Table 1. Summary of the proposed models and their correlation coefficients.
The list of changes and the amended is provided below:
In Section 2.1 - Gumbel bivariate exponential
The sentence “where ” first may please be read “where
”
In Section 2.2 - Block and Basu bivariate exponential
The sentence “and .” first may please be read “and
”.
The sentence “otherwise ” first may please be read “otherwise
”.
In Section 2.3 - Arnold bivariate geometric
The sentence “otherwise ” first may please be read “otherwise
”
In Section 2.4 - Basu-Dhar bivariate geometric
The sentence “the correlation is equals to zero when or
” first may please be read “the correlation is equals to zero when
”
In Section 4.1. The diabetic retinopathy data (DRS)
The sentence ”…presence of two covariates, the age at diagnosis of diabetes (in years), denoted by ; and the type of diabetes (juvenile and adult), denoted by
.” first may please be read ”presence of two covariates, the laser type (xeon or argon), denoted by
; and the type of diabetes (juvenile and adult), denoted by
.”
In Section 4.1.1. A Bayesian analysis in the presence of cure rate modeling
In the submission process, Tables 2,3 and 4 files for BBBE model; and Figures 2 and 3 files for BBBE model were sent incorrectly. The corrected estimates of BBBE model in Table 2 are given by:
Table
The corrected estimated correlation coefficient for the BBBE model in Table 3, please, read ”Post. Mean:
, Std. Dev.: 0.0023, 95% Cred. Interval: (0.0015,0.0069)”
The corrected estimated proportions of non-susceptible patients for the BBBE model in Table 4, please, read ” = 60.03%” and ”
= 32.76%”
The corrected Figures 2 and 3 for BBBE model are given by:
Figure 2. Kaplan-Meier estimators versus Bayesian estimated survival functions for the marginal survival functions assuming continuous models for (left panel) and
(right panel) in presence of cure rate.
![Figure 2. Kaplan-Meier estimators versus Bayesian estimated survival functions for the marginal survival functions assuming continuous models for T1 (left panel) and T2 (right panel) in presence of cure rate.](/cms/asset/67b93bf7-6165-4f48-8456-38e90bc82da1/cjas_a_1505203_f0002_c.jpg)
Figure 3. Left panel: PP-plots of the proposed models for (time to blindness for the treated eye). Right panel: PP-plots of the proposed models for
(time to blindness for the untreated eye).
![Figure 3. Left panel: PP-plots of the proposed models for T1 (time to blindness for the treated eye). Right panel: PP-plots of the proposed models for T2 (time to blindness for the untreated eye).](/cms/asset/e60cdeb2-990e-4efd-ae55-e274b51b8975/cjas_a_1505203_f0003_b.gif)
In Section 4.1.2. A Bayesian analysis in the presence of covariates and cure rate
The sentence ” denoting the age at diagnosis of diabetes” first may please be read ”
denoting the laser type (xeon or argon)”
The sentence ” denoting the laser type” first may please be read ”
denoting the laser type”.
In Section 4.2. Tobacco-stained fingers data (TSF)
Table 7 title ”The estimated proportions of non-susceptible patients for the application 1.” first may please be read ”The estimated proportions of non-susceptible patients for the TSF dataset.”
The authors apologize for these errors.