EM algorithm-based likelihood estimation for a generalized Gompertz regression model in presence of survival data with long-term survivors: an application to uterine cervical cancer data

DOI10.1080/00949655.2017.1281927OpenAlexW2584519745MaRDI QIDQ5106882

Patrick Borges

Publication date: 22 April 2020

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2017.1281927

zbMATH Keywords

bootstrap methodEM algorithmregression modelcure fractiongeneralized Gompertz distributiondefective distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Censored data models (62N01) Exact distribution theory in statistics (62E15) Estimation in survival analysis and censored data (62N02)

Related Items (7)

Defective models induced by gamma frailty term for survival data with cured fraction ⋮ The Marshall–Olkin generalized defective Gompertz distribution for surviving fraction modeling ⋮ A flexible cure rate model based on the polylogarithm distribution ⋮ A proportional-hazards model for survival analysis and long-term survivors modeling: application to amyotrophic lateral sclerosis data ⋮ A Metaheuristic Approach to Parameter Estimation of a Flexible Parametric Mixture Cure Rate Model with Interval-Censored Data ⋮ Estimation of generalized Gompertz distribution parameters under ranked-set sampling ⋮ A new straightforward defective distribution for survival analysis in the presence of a cure fraction

Uses Software

• bootstrap

Cites Work

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• The generalized Gompertz distribution
• Review and implementation of cure models based on first hitting times for Wiener processes
• Theoretical comparison of bootstrap confidence intervals
• Estimation of parameters of the Gompertz distribution using the least squares method
• Left truncated and right censored Weibull data and likelihood inference with an illustration
• Estimation of some lifetime parameters of generalized Gompertz distribution under progressively type-II censored data
• A new family of generalized distributions
• A Theoretical Basis for Gompertz'S Curve
• The EM Algorithm and Extensions, 2E
• Better Bootstrap Confidence Intervals
• Generalized exponential distributions
• Fitting a Gompertz Curve
• Testing for the Presence of Immune or Cured Individuals in Censored Survival Data
• Parameter Estimation of the Gompertz Population
• Bayesian and likelihood inference for cure rates based on defective inverse Gaussian regression models

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