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Bootstrap methods in regression smoothing

Journal of Nonparametric Statistics, 1993
A new smoothed bootstrap resampling plan is introduced in this paper in the context of nonparametric regression smoothing. A study of the rates of convergence for this method is carried out in a similar way to that made in Cao-Abad (1991) for the normal approximation, its plug-in approach and the wild bootstrap.
R. Cao-abad, W. González-Manteiga
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Bootstrapped and smoothed classification error rate estimators

Communications in Statistics - Simulation and Computation, 1988
The resubstitution estimator of classification error rates is known to have both an optimistic bias and a large variance. Modifications to this method have addressed these problems. the bootstrap estimator, for example, uses a resampling scheme to reduce bias, and the NS method uses a smoothing algorithm to reduce variance.
Steven M. Snapinn, James D. Knoke
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What happens when bootstrapping the smoothing spline

Communications in Statistics - Theory and Methods, 1987
The usual smoothing spline method is modified by a bootstrap bias correction inserted. It is shown that such a modification is asymptotically equivalent to a higher order method in sense they share the same best obtainable mean square error convergence rate. Similar results about the kernel method and their relation are discussed. It turns out that all
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Higher — order accuracy of bootstrap for smooth functionals

1992
We come now back to bootstrap of smooth statistical functionals. In Chapter 1 we have studied under which conditions bootstrap of smooth functionals works. In this chapter we give a simple proof for the higher order accuracy of the bootstrap estimate for smooth functionals T.
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ASYMPTOTICS OF BOOTSTRAPPING MEAN ON SOME SMOOTHED EMPIRICAL DISTRIBUTION

Statistics & Risk Modeling, 1997
Summary: We considered bootstrapping the mean in the case where the unknown underlying distribution \(F\) is known to be continuous. Instead of resampling from the empirical distribution \(F_n\) formed from the given random sample \(\{X_1,\dots,X_n\}\), where \(X_i{\overset\text{i.i.d.}\sim}F\), we draw bootstrap samples from a smoothed empirical ...
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Applications of Smoothed Monotone Regression Splines and Smoothed Bootstrapping in Survival Analysis

1998
An estimate of a survival curve S(x) for censored data is given by the non-parametric Kaplan-Meier method, which provides an estimate of the empirical survival curve and estimators of the standard errors. We use the software package Confit, developed by WTI, which is designed to produce a smoothed approximating spline, subject to imposed constraints on
Donald E. Ramirez, Philip W. Smith
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Generalizing Banks’ Smoothed Bootstrap Method for Right-Censored Data

Proceedings of the 29th European Safety and Reliability Conference (ESREL), 2019
Asamh Saleh M. Al Luhayb   +2 more
semanticscholar   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

A smoothed bootstrap test for independence based on mutual information

Computational Statistics & Data Analysis, 2009
E. H. Wu, P. Yu, W. Li
semanticscholar   +1 more source

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