Variance of the Kaplan-Meier Estimator and Its Quantiles Under Certain Fixed Censoring Models

Kaplan–Meier Estimator

The Kaplan–Meier estimator is a nonparametric estimator which may be used to estimate the survival distribution function from censored data. The estimator may be obtained as the limiting case of the classical actuarial (life table) estimator, and it seems to have been first proposed by Böhmer [2]. It was, however, lost sight of by later researchers and not investigated further until the importa...

Source Code Survival with the Kaplan Meier Estimator

The presence of dead code may affect the comprehensibility, the readability, and the size of source code so increasing the effort and the cost for maintenance. The elimination of dead code needs a huge cost and effort for recognizing and eliminating code that is not effectively used. The goal of this work consists in defining an approach based on the Kaplan Meier estimator to analyze dead code....

A generalization of Kaplan-Meier estimator for analyzing bivariate mortality under right-censoring and left-truncation with applications to model-checking for survival copula models

In this paper, we provide a new nonparametric estimator of the joint distribution of two lifetimes under random right censoring and left truncation, which can be seen as a bivariate extension of the Kaplan-Meier estimator. We derive asymptotic results for this estimator, including uniform n1/2−consistency, and develop a general methodology to study bivariate lifetime modelling, which is a criti...

Asymptotic Properties of Kaplan-meier Estimator for Censored Dependent Data

In some long term studies, a series of dependent and possibly censored failure times may be observed. Suppose that the failure times have a common marginal distribution function, and inferences about it are of our interest. The main result of this paper is that of providing, under certain regularity conditions, the Kaplan-Meier estimator can be expressed as the mean of random variables, with a ...

Counter-Intuitive Behavior of the Kaplan-Meier Estimator :A New Theorem and Examples