The Classical Bootstrap

Gerhard Dikta () and Marsel Scheer
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Gerhard Dikta: FH Aachen – University of Applied Sciences, Department of Medical Engineering and Technomathemathics
Marsel Scheer: Bayer AG

Chapter Chapter 3 in Bootstrap Methods, 2021, pp 21-45 from Springer

Abstract: Abstract In Chapter 1 , we briefly introduced the idea of bootstrapping. Now, together with the first applications, we will also give some theoretical results of the classical bootstrap approximation as first published simultaneously by Bickel and Freedman (1981) and Singh (1981). The methods of proof in these two papers are different and we follow mainly the work of Singh (1981) here. However, in Sect. 3.5, we will go into more detail about a proof concept applied in Bickel and Freedman (1981).

Date: 2021
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DOI: 10.1007/978-3-030-73480-0_3

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