The generalized odd log-logistic-G regression with interval-censored survival data

The article proposes a new regression based on the generalized odd log-logistic family for interval-censored data. The survival times are not observed for this type of data, and the event of interest occurs at some random interval. This family can be used in interval modeling since it generalizes so...

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Bibliographic Details
Published in:Journal of applied statistics 2024-07, Vol.51 (9), p.1642-1663
Main Authors: Vigas, Valdemiro P., Ortega, Edwin M. M., Suzuki, Adriano K., Cordeiro, Gauss M., dos Santos Junior, Paulo C.
Format: Article
Language:English
Subjects:
Bayesian analysis
Bayesian inference
generalized odd log-logistic family
Goodness of fit
Interval models
interval-censored data
Likelihood ratio
regression model
residual analysis
Statistical methods
Survival
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Summary:The article proposes a new regression based on the generalized odd log-logistic family for interval-censored data. The survival times are not observed for this type of data, and the event of interest occurs at some random interval. This family can be used in interval modeling since it generalizes some popular lifetime distributions in addition to its ability to present various forms of the risk function. The estimation of the parameters is addressed by the classical and Bayesian methods. We examine the behavior of the estimates for some sample sizes and censorship percentages. Selection criteria, likelihood ratio tests, residual analysis, and graphical techniques assess the goodness of fit of the fitted models. The usefulness of the proposed models is red shown by means of two real data sets.
ISSN:0266-4763
1360-0532
DOI:10.1080/02664763.2023.2230533