Related Experiment Video
Updated: Sep 27, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Non-parametric hypothesis testing and confidence intervals with doubly censored data
1Department of Statistics, University of Kentucky, Lexington, KY 40506-0027, USA. kun.chen.b@bayer.com
Abstract:
The non-parametric maximum likelihood estimator (NPMLE) of the distribution function with doubly censored data can be computed using the self-consistent algorithm (Tumbull, 1974). We extend the self-consistent algorithm to include a constraint on the NPMLE. We then show how to construct confidence intervals and test hypotheses based on the NPMLE via the empirical likelihood ratio. Finally, we present some numerical comparisons of the performance of the above method with another method that makes use of the influence functions.
Related Concept Videos
Statistical Inference Techniques in Hypothesis Testing: Parametric Versus Nonparametric Data
Parametric statistics, as the name suggests, assumes that data follow a specific distribution, often a normal distribution. This assumption enables robust hypothesis testing and estimation. Parametric methods, like the Student's t-test or Goodness-of-fit test, are frequently employed in biostatistics due to their robustness. For instance, comparing...
Censoring Survival Data
Introduction to Nonparametric Statistics
One of...
Comparing the Survival Analysis of Two or More Groups
Assumptions of Survival Analysis
The Mantel-Cox Log-Rank Test
