On the unification of long-term survival models

Rodrigues, Josemar; Cancho, Vicente G.; Castro, Mário de; Louzada, Francisco

doi:10.1016/j.spl.2008.10.029

Cited by 140 publications

(135 citation statements)

References 9 publications

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“…Despite this shortcoming, these models have proven to be useful in many real-world applications. Under this setup, Tsodikov et al (2003) and Rodrigues et al (2009) proved that the survival function for the population is given by…”

Section: The New Modelmentioning

confidence: 99%

Regression models generated by gamma random variables with long-term survivors

Ortega

Cordeiro

Hashimoto

et al. 2017

CSAM

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We propose a flexible cure rate survival model by assuming that the number of competing causes of the event of interest has the Poisson distribution and the time for the event follows the gamma-G family of distributions. The extended family of gamma-G failure-time models with long-term survivors is flexible enough to include many commonly used failure-time distributions as special cases. We consider a frequentist analysis for parameter estimation and derive appropriate matrices to assess local influence on the parameters. Further, various simulations are performed for different parameter settings, sample sizes and censoring percentages. We illustrate the performance of the proposed regression model by means of a data set from the medical area (gastric cancer).

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Section: The New Modelmentioning

confidence: 99%

Regression models generated by gamma random variables with long-term survivors

Ortega

Cordeiro

Hashimoto

et al. 2017

CSAM

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“…In this section we shall briefly describe the promotion cure rate model presented by Chen et al [3], further extended by Rodrigues et al [9], wherein we follow the same notations. This model also incorporates the presence of immune individuals to the event of interest, but still has the disadvantage of not accommodating zero time in its framework.…”

Section: Preliminarymentioning

confidence: 99%

The Zero-Inflated Promotion Cure Rate Regression Model Applied to Fraud Propensity in Bank Loan Applications

Louzada

Oliveira²,

Moreira

2015

SSRN Journal

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“…It assumes that a certain proportion of the patients are cured, in the sense that they do not present the event of interest during a long period of time and can be seen as cured or immune from the causes of death under study (Rodrigues et al, 2009). Mixture models can also accommodate the effects of covariances on the cure rate of populations and the survival function of susceptible to (non-cured) individuals via two components of separate regression.…”

Section: Introductionmentioning

confidence: 99%

Cure rate proportional odds models with spatial frailties for interval-censored data

Bao

Cancho

Louzada

et al. 2017

CSAM

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This paper presents proportional odds cure models to allow spatial correlations by including spatial frailty in the interval censored data setting. Parametric cure rate models with independent and dependent spatial frailties are proposed and compared. Our approach enables different underlying activation mechanisms that lead to the event of interest; in addition, the number of competing causes which may be responsible for the occurrence of the event of interest follows a Geometric distribution. Markov chain Monte Carlo method is used in a Bayesian framework for inferential purposes. For model comparison some Bayesian criteria were used. An influence diagnostic analysis was conducted to detect possible influential or extreme observations that may cause distortions on the results of the analysis. Finally, the proposed models are applied for the analysis of a real data set on smoking cessation. The results of the application show that the parametric cure model with frailties under the first activation scheme has better findings.

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On the unification of long-term survival models

Cited by 140 publications

References 9 publications

Regression models generated by gamma random variables with long-term survivors

Regression models generated by gamma random variables with long-term survivors

The Zero-Inflated Promotion Cure Rate Regression Model Applied to Fraud Propensity in Bank Loan Applications

Cure rate proportional odds models with spatial frailties for interval-censored data

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