NDLI: Rates of convergence for U-Statistics with varying kernels

Content Provider	Scilit
Author	Weber, N. C.
Copyright Year	1980
Description	Let $U_{n}$ be a U-statistic whose kernel depends on the size n of the sample under consideration. It is shown that when $U_{n}$ is suitably normalised its distribution function differs in $L^{p}$ norm from the distribution function of a standard normal variable by a term of $O(n^{-½}$).
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/ED08DFCA4773C84D382B0E2341359725/S0004972700011230a.pdf/div-class-title-rates-of-convergence-for-span-class-italic-u-span-statistics-with-varying-kernels-div.pdf
Ending Page	5
Page Count	5
Starting Page	1
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700011230
Journal	Bulletin of the Australian Mathematical Society
Issue Number	1
Volume Number	21
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1980-02-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Applied Mathematics Statistics and Probability Rate of Convergence
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Rates of convergence for U-Statistics with varying kernels