Nonparametric Survival Analysis

Nonparametric survival analysis of epidemic data

This paper develops nonparametric methods for the survival analysis of epidemic data based on contact intervals. The contact interval from person i to person j is the time between the onset of infectiousness in i and infectious contact from i to j, where we define infectious contact as a contact sufficient to infect a susceptible individual. We show that the Nelson-Aalen estimator produces an u...

Nonparametric Survival Analysis: Cox-Mantel tests and Permutation tests

Nonparametric and Dual Likelihood in Survival Analysis by

Recent results have shown that one can often construct dual likelihoods to analyze nonparametric likelihood ratio statistics. We will investigate a number of important statistics in survival analysis from this perspective. Findings include results on Bartlett correctibility and ancil-larity. In part of the discussion, we use a discrete time calculus for survival analysis, which we believe can b...

Nonparametric hypothesis testing in clustered survival model

Nonparametric hypothesis testing procedures based on the bootstrap were developed in testing for constant clustering effect in a survival model that incorporates the clustering effect into the Cox Proportional Hazards model. In a clustered survival model, bootstrap estimators of the cluster-specific parameters are consistent. Simulation studies indicate that the procedure is correctly-sized and...

Nonparametric Bayesian Inference For Survival Data

This article introduces a new Bayesian approach to the analysis of right-censored survival data. The hazard rate of interest is modeled as a product of conditionally independent stochastic processes, corresponding to (1) a baseline hazard function, and (2) a regression function representing the temporal innuence of the covariates. These processes jump at times that form time-homogeneous Poisson...