Uniform convergence rate of the nonparametric maximum likelihood estimator for current status data with competing risks

Nonparametric Estimation for Current Status Data with Competing Risks

Current Status Data with Competing Risks: Consistency and Rates of Convergence of the Mle

Delft University of Technology and Vrije Universiteit Amsterdam, University of Washington and University of Washington We study nonparametric estimation of the sub-distribution functions for current status data with competing risks. Our main interest is in the nonparametric maximum likelihood estimator (MLE), and for comparison we also consider the ‘naive estimator’ of Jewell, Van der Laan and ...

On Calculating the Nonparametric Maximum Likelihood Estimator of a Distribution given Interval Censored Data on Calculating the Nonparametric Maximum Likelihood Estimator of a Distribution given Interval Censored Data

SUMMARY We introduce an algorithm for calculating the nonparametric maximum likelihood estimator of a distribution function when data are interval censored. This algorithm has advantages over existing methods such as the pool-adjacent-violators algorithm and the greatest-convex-minorant algorithm. We establish a theoretical result related to the expected run time of the new method.

Empirical likelihood bivariate nonparametric maximum likelihood estimator with right censored data

This article considers the estimation for bivariate distribution function (d.f.) F0(t, z) of survival time T and covariate variable Z based on bivariate data where T is subject to right censoring. We derive the empirical likelihood-based bivariate nonparametric maximum likelihood estimator F̂n(t, z) for F0(t, z), which has an explicit expression and is unique in the sense of empirical likelihood...

Pointwise nonparametric maximum likelihood estimator of stochastically ordered survivor functions.

In this paper, we consider estimation of survivor functions from groups of observations with right-censored data when the groups are subject to a stochastic ordering constraint. Many methods and algorithms have been proposed to estimate distribution functions under such restrictions, but none have completely satisfactory properties when the observations are censored. We propose a pointwise cons...