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About an adaptively weighted Kaplan-Meier estimate
Lifetime Data Analysis, 2009The minimum averaged mean squared error nonparametric adaptive weights use data from m possibly different populations to infer about one population of interest. The definition of these weights is based on the properties of the empirical distribution function.
Jean-François Plante
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Expert Kaplan–Meier estimation
Scandinavian Actuarial Journal, 2023The setting of a right-censored random sample subject to contamination is considered. In various fields, expert information is often available and used to overcome the contamination. This paper integrates expert knowledge into the product-limit estimator in two different ways with distinct interpretations.
Martin Bladt, Christian Furrer
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The Jackknife Estimate of a Kaplan-Meier Integral
Biometrika, 1994Summary: We derive an explicit formula for the jackknife estimate of a Kaplan- Meier integral. From this the asymptotic analysis of the jackknifed Kaplan-Meier process becomes straightforward. In a small simulation study it is demonstrated that jackknifing may lead to a considerable reduction of the bias.
Stute, Winfried, Wang, Jane-Ling
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Reconstructing the Kaplan–Meier Estimator as an M-estimator
The American Statistician, 2021The Kaplan–Meier (KM) estimator, which provides a nonparametric estimate of a survival function for time-to-event data, has broad applications in clinical studies, engineering, economics and many o...
Jiaqi Gu, Yiwei Fan, Guosheng Yin
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On an exponential bound for the Kaplan–Meier estimator
Lifetime Data Analysis, 2007We review limit theory and inequalities for the Kaplan-Meier Kaplan and Meier (J Am Stat Assoc 53:457-481, 1958) product limit estimator of a survival function on the whole line [Formula: see text] . Along the way we provide bounds for the constant in an interesting inequality due to Biotouzé et al.
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Bootstrapping the Kaplan-Meier Estimator
Journal of the American Statistical Association, 1986Abstract Randomly censored data consist of iid pairs of observations (Xi, δi), i = 1, …, n; if δ i = 0, Xi denotes a censored observation, and if δ i = 1, Xi denotes an exact “survival” time, which is the variable of interest. For estimating the distribution F of the survival times, the product-limit estimator proposed by Kaplan and Meier (1958) has ...
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A Note on the Kaplan-Meier Estimator
The American Statistician, 1993Abstract An anomalous feature of the Kaplan-Meier estimator is that certain estimated survival probabilities can be decreased when the data are perturbed in a way that improves the overall group survival. An alternative estimator based on the so-called reduced-sample method does not have this disadvantage.
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Extensions of the kaplan-meier estimator
Communications in Statistics - Simulation and Computation, 1995The Kaplan–Meier estimation (KME) (1958) is a popular nonparametric method in analyzing the survival data. Efron (1967) proposes a re-distribution-to-the-right algorithm for right censored data, which can also be re-distributed from right to left by a method of Dinse (1985).
Wei-Ting Kary Chien, Way Kuo
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