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A remark on strong law of large numbers for weighted U-statistics

✍ Scribed by Hyung-Tae Ha,Mei Ling Huang,De Li Li

Book ID
126348110
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2014
Tongue
English
Weight
216 KB
Volume
30
Category
Article
ISSN
1439-7617

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Strong law of large numbers for U-statis
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✍ Grzegorz RempaΕ‚a πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 322 KB

Let U m be a U-statistic of order m based on n i.i.d, real random variables. Suppose that m = m(n) changes with n as n--+ cx~. In this work we are concerned with establishing the strong consistency properties for U~ under linear norming. The results are obtained by generalizing the SLLN for arrays o