An Alternative Promotion Time Cure Model with Overdispersed Number of Competing Causes: An Application to Melanoma Data

Author:

Gallardo Diego I.ORCID,de Castro MárioORCID,Gómez Héctor W.ORCID

Abstract

A cure rate model under the competing risks setup is proposed. For the number of competing causes related to the occurrence of the event of interest, we posit the one-parameter Bell distribution, which accommodates overdispersed counts. The model is parameterized in the cure rate, which is linked to covariates. Parameter estimation is based on the maximum likelihood method. Estimates are computed via the EM algorithm. In order to compare different models, a selection criterion for non-nested models is implemented. Results from simulation studies indicate that the estimation method and the model selection criterion have a good performance. A dataset on melanoma is analyzed using the proposed model as well as some models from the literature.

Funder

SEMILLERO UA

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cure rate models for heterogeneous competing causes;Statistical Methods in Medical Research;2023-07-25

2. Bayesian modeling for a new cure rate model based on the Nielsen distribution;Brazilian Journal of Probability and Statistics;2022-12-01

3. Log-symmetric models with cure fraction with application to leprosy reactions data;Brazilian Journal of Probability and Statistics;2022-09-01

4. Comparison of the Average Kappa Coefficients of Two Binary Diagnostic Tests with Missing Data;Mathematics;2021-11-08

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