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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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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 ...
M. Akritas
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Alternatives to the Kaplan–Meier estimator of progression-free survival
The International Journal of Biostatistics, 2020Abstract 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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A Bias-Corrected Kaplan-Meier Estimator
2020 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM), 2020The Kaplan-Meier estimator (KME) is a classical non-parametric reliability estimator for incomplete data; and it underestimates the reliability. Few estimators have been developed to correct its bias. This paper aims to fill this gap by proposing a bias-corrected estimator.
R. Jiang
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Extensions of the kaplan-meier estimator
Communications in Statistics Part B: 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).
Way Kuo, Wei-Ting Kary Chien
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A Berry-Essen Inequality for the Kaplan-Meier L-Estimator
Acta Mathematica Sinica, English Series, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, QH, Zhu, LX
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A SIMPLE IMPROVEMENT OF THE KAPLAN-MEIER ESTIMATOR
Communications in Statistics - Theory and Methods, 2002ABSTRACT Though widely used, the celebrated Kaplan-Meier estimator suffers from a disadvantage: it may happen, and in small and moderate samples it often does, that even if the difference between two consecutive times t 1 and t 2 ( ) is considerably large, for the values of the Kaplan-Meier estima-tor KM(t 1) and KM(t 2) we may have KM .
Agnieszka Rossa, Ryszard Zielinski
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Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions
Journal of the American Statistical Association, 1977A. V. Peterson
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Asymptotic properties of a generalized kaplan-meier estimator with some applications
Journal of Nonparametric Statistics, 1994Wenceslao Gonzalez-Manteiga +1 more
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