ArticleLifetime data analysis2021
Weighted Lindley frailty model: estimation and application to lung cancer data.
Article in Lifetime data analysis, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- A Novel Approach for Analyzing Non-Proportional Hazards With Long-Term Survivors: The Defective Yang-Prentice Model.Biometrical journal. Biometrische Zeitschrift · 2026Article
- Bayesian survival modeling with mixtures of inverse Gaussian frailties.Journal of applied statistics · 2026Article
- The multivariate shared truncated normal frailty model with application to medical data.Scientific reports · 2025Article
- Non-proportional hazards model with a PVF frailty term: application with a melanoma dataset.Journal of applied statistics · 2025Article
- The quasi-xgamma frailty model with survival analysis under heterogeneity problem, validation testing, and risk analysis for emergency care data.Scientific reports · 2024Article
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Authors and funding
8 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we propose a novel frailty model for modeling unobserved heterogeneity present in survival data. Our model is derived by using a weighted Lindley distribution as the frailty distribution. The respective frailty distribution has a simple Laplace transform function which is useful to obtain marginal survival and hazard functions. We assume hazard functions of the Weibull and Gompertz distributions as the baseline hazard functions. A classical inference procedure based on the maximum likelihood method is presented. Extensive simulation studies are further performed to verify the behavior of maximum likelihood estimators under different proportions of right-censoring and to assess the performance of the likelihood ratio test to detect unobserved heterogeneity in different sample sizes. Finally, to demonstrate the applicability of the proposed model, we use it to analyze a medical dataset from a population-based study of incident cases of lung cancer diagnosed in the state of São Paulo, Brazil.
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Registered trials
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