Review and implementation of cure models based on first hitting times for Wiener processes

DOI10.1007/s10985-008-9108-yzbMath1282.62228OpenAlexW2054451345WikidataQ37362300 ScholiaQ37362300MaRDI QIDQ841061

Paul D. McNicholas, Anthony F. Desmond, Jeremy Balka

Publication date: 14 September 2009

Published in: Lifetime Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10985-008-9108-y

zbMATH Keywords

EM algorithmWiener processsurvival analysiscure ratemixture modelsfirst hitting timeinverse Gaussiangradient EM algorithm

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Brownian motion (60J65)

Related Items (18)

Zero-adjusted defective regression models for modeling lifetime data ⋮ Defective models induced by gamma frailty term for survival data with cured fraction ⋮ An extended poisson family of life distribution: a unified approach in competitive and complementary risks ⋮ Two new defective distributions based on the Marshall-Olkin extension ⋮ Optimum step-stress accelerated degradation test for Wiener degradation process under constraints ⋮ Issues in Fitting Inverse Gaussian First Hitting Time Regression Models for Lifetime Data ⋮ Preventive replacement for systems with condition monitoring and additional manual inspections ⋮ Degradation data analysis and remaining useful life estimation: a review on Wiener-process-based methods ⋮ A new class of defective models based on the Marshall-Olkin family of distributions for cure rate modeling ⋮ 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 ⋮ A Metaheuristic Approach to Parameter Estimation of a Flexible Parametric Mixture Cure Rate Model with Interval-Censored Data ⋮ Bayesian and likelihood inference for cure rates based on defective inverse Gaussian regression models ⋮ Tests for outliers in the inverse Gaussian distribution, with application to first hitting time models ⋮ A semiparametric inverse‐Gaussian model and inference for survival data with a cured proportion ⋮ Proportional hazards and threshold regression: their theoretical and practical connections ⋮ Ornstein-Uhlenbeck threshold regression for time-to-event data with and without a cure fraction ⋮ Designing a Degradation Test with a Two-Parameter Exponential Lifetime Distribution ⋮ The Poisson-inverse-Gaussian regression model with cure rate: a Bayesian approach and its case influence diagnostics

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