Bayesian approach for clustered interval-censored data with time-varying covariate effects

2019 ◽  
Vol 12 (3) ◽  
pp. 457-465
Author(s):  
Yue Zhang ◽  
Xia Wang ◽  
Bin Zhang
Keyword(s):  
Censored Data ◽  
Bayesian Approach ◽  
Time Varying ◽  
Interval Censored Data ◽  
Covariate Effects ◽  
Interval Censored

scholarly journals Bayesian Estimations of Exponential Distribution Based on Interval-Censored Data with a Cure Fraction

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Al Omari Mohammed Ahmed
Keyword(s):  
Exponential Distribution ◽  
Censored Data ◽  
Bayesian Approach ◽  
Failure Time ◽  
Upper And Lower Bounds ◽  
Interval Censored Data ◽  
Squared Error ◽  
Cure Fraction ◽  
Interval Censored ◽  
The Bayesian Approach

Censored data are considered to be of the interval type where the upper and lower bounds of an event’s failure time cannot be directly observed but only determined between interval inspection times. The analyses of interval-censored data have attracted attention because they are common in the fields of reliability and medicine. A proportion of patients enrolled in clinical trials can sometimes be cured. In some instances, their symptoms mostly disappear without any recurrence of the disease. In this study, the proportion of such patients who are cured is estimated. Furthermore, the Bayesian approach under the gamma prior and maximum likelihood estimation (MLE) is used to estimate the cure fraction depending on the bounded cumulative hazard (BCH) model based on interval-censored data with an exponential distribution. The Bayesian approach uses three loss functions: squared error, linear exponential, and general entropy. These functions are compared with the MLE and used between estimators. Moreover, they are obtained using the mean squared error, which locates the best option to estimate the parameter of an exponential distribution. The results show that the BCH model and lambda parameter of the exponential distribution based on the interval-censored data can be best estimated using the Bayesian gamma prior with a positive loss function of the linear exponential.

Interval-censored data with misclassification: a Bayesian approach

2020 ◽  
pp. 1-17
Author(s):  
Magda Carvalho Pires ◽  
Enrico Antônio Colosimo ◽  
Guilherme Augusto Veloso ◽  
Raquel de Souza Borges Ferreira
Keyword(s):  
Censored Data ◽  
Bayesian Approach ◽  
Interval Censored Data ◽  
Interval Censored

The Cox-Aalen model for left-truncated and mixed interval-censored data

Statistics ◽  
2019 ◽  
Vol 53 (5) ◽  
pp. 1152-1167 ◽  
Author(s):  
Pao-sheng Shen ◽  
Li Ning Weng
Keyword(s):  
Censored Data ◽  
Interval Censored Data ◽  
Aalen Model ◽  
Interval Censored
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