A Kolmogorov inequality for weighted U-statistics
In this paper a Kolmogorov probability inequality for weighted U-statistics based on Bernoulli kernels is presented. This inequality which extends the results of [Turner, D.W., Young, D.M., Seaman, J.W., 1995. A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means. Statist. Probab. Lett. 23, 243-245] is a Hoeffding type exponential inequality without any assumptions or restrictions.
Year of publication: |
2008
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Authors: | Mavrikiou, Petroula M. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 18, p. 3294-3297
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Publisher: |
Elsevier |
Saved in:
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