Abstract
The object of this note is to prove an analogue for U-processes of (1974) tail inequality for sums of independent symmetric random vectors. The result obtained is best possible in a certain sense but is less useful than the original inequality.
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References
Arcones, M.A. and Giné, E. (1991). Limit theorems for U-processes. Preprint.
Bonami, A. (1970). Etude des coefficients de Fourier des fonctions de L P (G.). Ann. Inst. Fourier 20, 335–402.
Hitczenko, P. (1988). Comparison of moments for tangent sequences of random variables. Probab. The. Rel Fields 78, 223–230.
Hoffmann-Jørgensen, J. (1974). Sums of independent Banach space valued random variables. Studia Math. 52, 159–189.
Hoffmann-Jørgensen, J. (1977). Probability in Banach spaces. Lecture Notes in Math. 598, 1–186.
de la Peña, V. (1990). Decoupling and Khintchine’s inequalities for U-statistics. Ann. Probability, to appear.
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© 1992 Springer Science+Business Media New York
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Giné, E., Zinn, J. (1992). On Hoffmann-Jørgensen’s Inequality for U-Processes. In: Dudley, R.M., Hahn, M.G., Kuelbs, J. (eds) Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference. Progress in Probability, vol 30. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0367-4_5
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DOI: https://doi.org/10.1007/978-1-4612-0367-4_5
Publisher Name: Birkhäuser, Boston, MA
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