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On an exponential bound for the Kaplan–Meier estimator

Lifetime Data Analysis, 2007
We 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, 1986
Abstract 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, 1993
Abstract 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, 1995
The 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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Counter-intuitive properties of the Kaplan–Meier estimator

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nishikawa, Masako, Tango, Toshiro
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Kaplan–Meier representation of competing risk estimates

Statistics & Probability Letters, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Satten, Glen A., Datta, Somnath
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Two bias‐corrected Kaplan‐Meier estimators

Quality and Reliability Engineering International, 2021
AbstractThe Kaplan‐Meier estimator (KME) is a classical nonparametric reliability estimator for incomplete data. Although it has been widely used, its two drawbacks have not been addressed well in the literature: (a) as a staircase function, it actually has two reliability estimates for each failure observation, and (b) it is biased. This paper aims to
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An extended Kaplan-Meier estimator and its applications

Statistics in Medicine, 1998
We develop an extension of the Kaplan-Meier estimator for the case of multiple live states. The method can be used to construct prognostic charts for tracking individuals initially in a given condition. It is also the key component in constructing a longitudinal version of the multistate life table.
D, Strauss, R, Shavelle
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Alternatives to the Kaplan–Meier estimator of progression-free survival

The International Journal of Biostatistics, 2020
Abstract Progression-free survival (PFS), defined as the time from randomization to progression of disease or death, has been indicated as an endpoint to support accelerated approval of certain cancer drugs by the U.S. FDA. The standard Kaplan–Meier (KM) estimator of PFS, however, can result in significantly biased estimates.
Zhang, Jenny J.   +3 more
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Discrepancy with respect to kaplan-meier estimator

Communications in Statistics - Simulation and Computation, 1998
As first step of applying the Number-theoretic method to Survival Analysis, we suggest the discrepancy associated with Kaplan-Meier estimator. The convergence rate is still O(n-1:) in some sense. Further studies are given and the simulation results are reported.
Kai-Tai Fang, Zukang Zheng, Wenliang Lu
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