# On the normal approximation of U-statistics of degree two

Yoshihiko Maesono

4 引用 (Scopus)

### 抄録

The rates of convergence to the normal distribution are investigated for U-statistics of degree two. We derive an inequality which gives a lower bound for the uniform distance between the distribution of a U-statistic and the standard normal distribution, and which is useful in the case where the distribution of U-statistic is symmetric around the origin. The proof is based on Stein's method.

元の言語 英語 37-50 14 Journal of Statistical Planning and Inference 27 1 https://doi.org/10.1016/0378-3758(91)90080-X 出版済み - 1 1 1991

### Fingerprint

U-statistics
Normal Approximation
Statistics
Normal distribution
Stein's Method
Standard Normal distribution
Gaussian distribution
Rate of Convergence
Lower bound
Approximation

### All Science Journal Classification (ASJC) codes

• Statistics and Probability
• Statistics, Probability and Uncertainty
• Applied Mathematics

### これを引用

On the normal approximation of U-statistics of degree two. / Maesono, Yoshihiko.

：: Journal of Statistical Planning and Inference, 巻 27, 番号 1, 01.01.1991, p. 37-50.

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