Vigas VP, Ortega EMM, Suzuki AK, Cordeiro GM, dos Santos Junior PC. The generalized odd log-logistic-G regression with interval-censored survival data.
J Appl Stat 2023;
51:1642-1663. [PMID:
38933143 PMCID:
PMC11198143 DOI:
10.1080/02664763.2023.2230533]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2022] [Accepted: 06/06/2023] [Indexed: 06/28/2024]
Abstract
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.
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