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An example where bootstrap fails: Comparing nonparametric versus parametric regression fits

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When Does Bootstrap Work?

Part of the book series: Lecture Notes in Statistics ((LNS,volume 77))

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Abstract

In the next three chapters we discuss applications of bootstrap in nonparametric curve estimation. In this chapter we give an example of nonparametric regression where bootstrap does not work. We will show that bootstrap cannot be used for the approximate determination of critical values for a certain goodness - of - fit test statistic. The model being tested is a parametric regression model and the test statistic is based on the distance between a parametric and a nonparametric regression estimate.The material of this section is also contained in Härdle and Mammen (1990).

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© 1992 Springer-Verlag New York, Inc.

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Mammen, E. (1992). An example where bootstrap fails: Comparing nonparametric versus parametric regression fits. In: When Does Bootstrap Work?. Lecture Notes in Statistics, vol 77. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2950-6_3

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  • DOI: https://doi.org/10.1007/978-1-4612-2950-6_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97867-3

  • Online ISBN: 978-1-4612-2950-6

  • eBook Packages: Springer Book Archive

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