Abstract
Former chapters of this work contain estimates about the tail distribution of normalized sums of independent, identically distributed random variables and of the supremum of appropriate classes of such random sums. They were considered together with some estimates about the tail distribution of the integral of a (deterministic) function with respect to a normalized empirical distribution and of the supremum of such integrals. This two kinds of problems are closely related, and to understand them better it is useful to investigate them together with their natural Gaussian counterpart.
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© 2013 Springer-Verlag Berlin Heidelberg
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Major, P. (2013). Formulation of the Main Results of This Work. In: On the Estimation of Multiple Random Integrals and U-Statistics. Lecture Notes in Mathematics, vol 2079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37617-7_8
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DOI: https://doi.org/10.1007/978-3-642-37617-7_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37616-0
Online ISBN: 978-3-642-37617-7
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