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...
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| Veröffentlicht in: | Statistics & probability letters 2008-12, Vol.78 (18), p.3294-3297 |
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| creator | Mavrikiou, Petroula M. |
| description | 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. |
| doi_str_mv | 10.1016/j.spl.2008.06.013 |
| format | Article |
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| issn | 0167-7152 1879-2103 |
| language | eng |
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| source | RePEc; Elsevier ScienceDirect Journals |
| subjects | Exact sciences and technology General topics Mathematics Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics Stochastic processes |
| title | A Kolmogorov inequality for weighted U-statistics |
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