Abstract
The rates of convergence to the normal distribution are investigated for V- and L-statistics. We derive an inequality which gives a lower bound of the uniform distance between two distributions of the V-statistic and the normal distribution. We obtain an inequality which gives a lower bound of the uniform distance, and is meaningful in the case that the distribution of the standardized V-statistic is symmetric around the origin. Further, we also derive similar inequalities for the L-statistic. The proofs are based on Stein's method.
Original language | English |
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Pages (from-to) | 291-314 |
Number of pages | 24 |
Journal | Journal of Statistical Planning and Inference |
Volume | 42 |
Issue number | 3 |
DOIs | |
Publication status | Published - Dec 1994 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics