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We establish the first nonasymptotic error bounds for Kaplan-Meier-based nearest neighbor and kernel survival probability estimators where feature vectors reside in metric spaces.
Nonparametric estimation from incomplete observations
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Nearest neighbor pattern classification
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Hazard plotting for incomplete failure data
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Regression models and life-tables
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Consistent nonparametric regression
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Strong uniform consistency for nonparametric survival curve estimators from randomly censored data
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Uniform consistency of the kernel conditional Kaplan-Meier estimate
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The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
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Counting Processes and Survival Analysis
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Randomized 2 x 2 trial evaluating hormonal treatment and the duration of chemotherapy in node-positive breast cancer patients. german breast cancer study group
Schumacher, M., Bastert, G., Bojar, H., Huebner, K., Olschewski, M., Sauerbrei, W., Schmoor, C., Beyerle, C., Neumann, R., and Rauschecker, H · 1994
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Uniform strong convergence results for the conditional Kaplan-Meier estimator and its quantiles
Van Keilegom, I. and Veraverbeke, N · 1996
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Nonparametric estimation of the conditional distribution in regression with censored data
Van Keilegom, I · 1998
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Assessment and comparison of prognostic classification schemes for survival data
Graf, E., Schmoor, C., Sauerbrei, W., and Schumacher, M · 1999
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Some infinity theory for predictor ensembles
Breiman, L · 2000
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k k -NN regression adapts to local intrinsic dimension
Kpotufe, S · 2011
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Bounds on the lambert function and their application to the outage analysis of user cooperation
Chatzigeorgiou, I · 2013
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General selection rule from a family of linear estimators
Goldenshluger, A. and Lepski, O · 2013
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Adaptivity to local smoothness and dimension in kernel regression
Kpotufe, S. and Garg, V. K · 2013
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Adaptive and minimax estimation of the cumulative distribution function given a functional covariate
Chagny, G. and Roche, A · 2014
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Rates of convergence for nearest neighbor classification
Chaudhuri, K. and Dasgupta, S · 2014
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Zupan, B., Demšar, J., Kattan, M. W., Beck, J. R., and Bratko, I · 2000
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The Statistical Analysis of Failure Time Data (2nd ed.)
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Nearest neighbor classification in infinite dimension
Cérou, F. and Guyader, A · 2006
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Fast learning rates for plug-in classifiers
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Inequalities on the Lambert W function and hyperpower function
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Classification in general finite dimensional spaces with the
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Explaining the success of nearest neighbor methods in prediction
Chen, G. H. and Shah, D · 2018
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