Abstract
One of the two main approaches toward deriving Glivenko-Cantelli and Donsker theorems is based on the principle of comparing the empirical process to a “symmetrized” empirical process. In this chapter we derive the main symmetrization theorem, as well as a number of technical complements, which may be skipped at first reading.
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© 1996 Springer Science+Business Media New York
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van der Vaart, A.W., Wellner, J.A. (1996). Symmetrization and Measurability. In: Weak Convergence and Empirical Processes. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2545-2_15
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DOI: https://doi.org/10.1007/978-1-4757-2545-2_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2547-6
Online ISBN: 978-1-4757-2545-2
eBook Packages: Springer Book Archive