• Corpus ID: 237431520

Fast approximations of pseudo-observations in the context of right-censoring and interval-censoring

@inproceedings{Bouaziz2021FastAO,
  title={Fast approximations of pseudo-observations in the context of right-censoring and interval-censoring},
  author={Olivier Bouaziz},
  year={2021}
}
In the context of right-censored and interval-censored data we develop asymptotic formulas to compute pseudo-observations for the survival function and the Restricted Mean Survival Time (RMST). Those formulas are based on the original estimators and do not involve computation of the jackknife estimators. For right-censored data, Von Mises expansions of the Kaplan-Meier estimator are used to derive the pseudo-observations. For intervalcensored data, a general class of parametric models for the… 

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SHOWING 1-10 OF 29 REFERENCES
A Study of Interval Censoring in Parametric Regression Models
TLDR
It is found that, for parametric models, interval censoring can often be ignored and that the density, at centres of intervals, can be used instead in the likelihood function, although the approximation is not always reliable.
ASYMPTOTIC PROPERTIES OF NONPARAMETRIC ESTIMATION BASED ON PARTLY INTERVAL-CENSORED DATA
We study asymptotic properties of the nonparametric maximum likelihood estimator (NPMLE) of a distribution function based on partly intervalcensored data in which the exact values of some failure
Regression analysis in an illness-death model with interval-censored data: A pseudo-value approach
TLDR
This work proposes an extension of the pseudo-value approach for interval-censored data based on a semi-parametric estimator computed using penalised likelihood and splines that takes interval- censoring and competing risks into account in an illness-death model.
Pseudo-observations for competing risks with covariate dependent censoring
TLDR
This article investigates robustness of the pseudo-values against violation of the assumption that the probability of not being lost to follow-up (un-censored) is independent of the covariates.
Regression modelling of interval censored data based on the adaptive ridge procedure
A new method for the analysis of time to ankylosis complication on a dataset of replanted teeth is proposed. In this context of left-censored, interval-censored and right-censored data, a Cox model
A Note on the Large Sample Properties of Estimators Based on Generalized Linear Models for Correlated Pseudo-observations
Pseudo‐values have proven very useful in censored data analysis in complex settings such as multi‐state models. It was originally suggested by Andersen et al., Biometrika, 90, 2003, 335 who also
Pseudo-observations in survival analysis
We review recent work on the application of pseudo-observations in survival and event history analysis. This includes regression models for parameters like the survival function in a single point,
Modeling restricted mean survival time under general censoring mechanisms
TLDR
The proposed generalized estimating equation methods to model RMST as a function of baseline covariates avoid potentially problematic distributional assumptions pertaining to restricted survival time and allow censoring to depend on both baseline and time-dependent factors.
On Consistency of the Self‐Consistent Estimator of Survival Functions with Interval‐Censored Data
The self‐consistent estimator is commonly used for estimating a survival function with interval‐censored data. Recent studies on interval censoring have focused on case 2 interval censoring, which
Estimating Differences in Restricted Mean Lifetime Using Observational Data Subject to Dependent Censoring
TLDR
Methods to estimate group- (e.g., treatment-) specific differences in restricted mean lifetime for studies where treatment is not randomized and lifetimes are subject to both dependent and independent censoring are proposed.
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