Bootstrap Confidence Intervals
Thomas J. DiCiccio,Bradley Efron +1 more
TLDR
Bootstrap methods for estimating confidence intervals have been surveyed in this article, with a focus on improving the accuracy of the standard confidence intervals in a way that allows routine application even to very complicated problems.Abstract:
This article surveys bootstrap methods for producing good approximate confidence intervals. The goal is to improve by an order of magnitude upon the accuracy of the standard intervals $\hat{\theta} \pm z^{(\alpha)} \hat{\sigma}$, in a way that allows routine application even to very complicated problems. Both theory and examples are used to show how this is done. The first seven sections provide a heuristic overview of four bootstrap confidence interval procedures: $BC_a$, bootstrap-t , ABC and calibration. Sections 8 and 9 describe the theory behind these methods, and their close connection with the likelihood-based confidence interval theory developed by Barndorff-Nielsen, Cox and Reid and others.read more
Citations
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Inference on the Kumaraswamy distribution
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Hostility and reactive criminal thinking as mediators of the violent victimization–violent offending relationship: affect before cognition?
TL;DR: The authors determine whether an affective-cognitive construct, hostility, and a cognitive-affective criminal thinking style, reactive criminal thinking (RCT) style, can be classified as reactive or affective.
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Improved estimation of the lower percentiles of material properties
TL;DR: In this paper, the authors show the usefulness of bootstrap methods to better assess the key quality metric of internal bond (IB or tensile strength) of medium-density fiberboard (MDF) in the critical lower percentiles when data are limited.
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Probabilistic cost-utility analysis and expected value of perfect information for the Oncotype multigenic test: a discrete event simulation model.
Oliver Ibarrondo,Isabel Álvarez-López,Fred Freundlich,Arantzazu Arrospide,Elena Galve-Calvo,María Gutierrez-Toribio,Arrate Plazaola,Javier Mar +7 more
TL;DR: Oncotype is a cost-effective intervention from a health system perspective since each QALY gained costs less than 25,000 euros and from a societal perspective, it is dominant since it provides greater health and is accompanied by cost savings.
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Disentangling the complexity of tropical small-scale fisheries dynamics using supervised Self-Organizing Maps
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References
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Book
An introduction to the bootstrap
Bradley Efron,Robert Tibshirani +1 more
TL;DR: This article presents bootstrap methods for estimation, using simple arguments, with Minitab macros for implementing these methods, as well as some examples of how these methods could be used for estimation purposes.
Journal ArticleDOI
Bootstrap Methods: Another Look at the Jackknife
TL;DR: In this article, the authors discuss the problem of estimating the sampling distribution of a pre-specified random variable R(X, F) on the basis of the observed data x.
Book
Bootstrap Methods and Their Application
Anthony C. Davison,David Hinkley +1 more
TL;DR: In this paper, a broad and up-to-date coverage of bootstrap methods, with numerous applied examples, developed in a coherent way with the necessary theoretical basis, is given, along with a disk of purpose-written S-Plus programs for implementing the methods described in the text.
Journal ArticleDOI
Better Bootstrap Confidence Intervals
TL;DR: In this article, the authors consider the problem of setting approximate confidence intervals for a single parameter θ in a multiparameter family, and propose a method to automatically incorporate transformations, bias corrections, and so on.
Beiter Bootstrap Confidence Intervals
TL;DR: In this article, the authors consider the problem of setting approximate confidence intervals for a single parameter 0 in a multiparameter family, and propose the bootstrap confidence intervals that automatically incorporate transformations, bias corrections, and so forth.