On the normal approximations of V- and L-statistics

Yoshihiko Maesono

研究成果: Contribution to journalArticle

1 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)291-314
ページ数24
ジャーナルJournal of Statistical Planning and Inference
42
3
DOI
出版ステータス出版済み - 1 1 1994

All Science Journal Classification (ASJC) codes

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

フィンガープリント 「On the normal approximations of V- and L-statistics」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル