Abstract
Without loss of generality we assume that our basic sequence X1,X2,... is defined on an appropriate probability space (Ω, A, P) such that for the resulting uniform empirical process
, of U1 = F(X1),...,Un = F(Xn), the approzimation
of Komlós, Major and Tusnády (1975) holds true (see also Theorem 4.4.3 in M. Csörgö and Révész (1981)).
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© 1986 Springer-Verlag Berlin Heidelberg
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Csörgő, M., Csörgő, S., Horváth, L. (1986). The Basic Setting for the Approximations and Various Preliminaries. In: An Asymptotic Theory for Empirical Reliability and Concentration Processes. Lecture Notes in Statistics, vol 33. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6420-1_2
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DOI: https://doi.org/10.1007/978-1-4615-6420-1_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96359-4
Online ISBN: 978-1-4615-6420-1
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