상세 보기
초록
A reduced U-statistic is a U-statistic with its summands drawn from a restricted but balanced set of pairs. In this article, central limit theorems are derived for reduced U-statistics under α-mixing, which significantly extends the work of Brown & Kildea in various aspects. It will be shown and illustrated that reduced U-statistics are quite useful in deriving test statistics in various nonparametric testing problems.
키워드
α-mixing; Central limit theorem; Nonparametric test; Reduced U-statistic; ASYMPTOTIC NORMALITY; RANDOM-VARIABLES; ESTIMATOR; ERROR
- 제목
- CENTRAL LIMIT THEOREMS FOR REDUCED U-STATISTICS UNDER DEPENDENCE AND THEIR USEFULNESS
- 저자
- Kim, Tae Yoon; Ha, Jeongcheol; Hwang, Sun Young; Park, Cheolyong; Luo, Zhi-Ming
- 발행일
- 2013-12
- 유형
- Article
- 권
- 55
- 호
- 4
- 페이지
- 387 ~ 399