Abstract
Laws of large numbers for U-statistics which reduce to the (sufficiencypart of the) Marcinkiewicz law of large numbers if m = 1 are proved. Convergence of moments is also considered both for the laws of large numbers and for the central limit theorem.
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Giné, E., Zinn, J. (1992). Marcinkiewicz Type Laws of Large Numbers and Convergence of Moments for u-Statistics. 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_19
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DOI: https://doi.org/10.1007/978-1-4612-0367-4_19
Publisher Name: Birkhäuser, Boston, MA
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