The Bootstrap

Date
2001-12-01
Authors
Dixon, Philip
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Altmetrics
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Research Projects
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Statistics
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Abstract

This paper reviews the bootstrap and its use for statistical inference, especially in environmetric applications. The various bootstrap methods are classified by three factors: how confidence interval endpoints are chosen (e.g. percentile, basic, accelerated, BCA or studentized bootstrap), how the population is approximated (non-parametric or parametric bootstrap), and how bootstrap samples are selected (ordinary, balanced, or moving-blocks bootstrap). All of these techniques are described. Particular attention is given to techniques for non-iid data. Two data sets are used to illustrate the principles: heavy metal concentrations in ground water with some censored values and magnesium concentrations in blood.

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This preprint was published as Philip M. Dixon, "Bootstrap Resampling", Encyclopedia of Environmetrics (2006): 212-220, doi: 10.1002/9780470057339.vab028.

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