Titlebook: Bootstrap Methods; With Applications in Gerhard Dikta,Marsel Scheer Textbook 2021 Springer Nature Switzerland AG 2021 Bootstrap based tests

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The Continuous Ordered Median Problem established a general approach for GOF tests which is based on a marked empirical process (MEP), a standardized cumulative sum process obtained from the observed residuals. Resting upon the asymptotic limiting process of the MEP under the null hypothesis, Kolmogorov-Smirnov or Cramér-von Mises type

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Linearizations and ReformulationsIn this introduction, we discuss the basic idea of the bootstrap procedure using a simple example. Furthermore, the Statistical Software R and its use in the context of this manuscript is briefly covered. Readers who are familiar with this material can skip this chapter.

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https://doi.org/10.1007/978-3-030-73480-0Bootstrap based tests; Regression analysis; Survival analysis; Longitudinal data analyis; Experimental d

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The Classical Bootstrap,f the classical bootstrap approximation as first published simultaneously by Bickel and Freedman (.) and Singh (.). The methods of proof in these two papers are different and we follow mainly the work of Singh (.) here. However, in Sect. ., we will go into more detail about a proof concept applied in Bickel and Freedman (.).

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Stefan Nickel,Justo Puerto Albandozlater under certain correlation assumptions. Afterward, we allow other distributions for . like the negative-binomial distribution which lead to the classical generalized linear models. The chapter concludes with semi-parametric models, i.e., we do not explicitly assume a distribution for . but the