ON STRONG UNIFORM CONSISTENCY OF THE LYNDEN-BELL ESTIMATOR FOR TRUNCATED DATA

• 成果类型: Article
• 署名作者: CHEN, K; CHAO, MT; LO, SH
• 署名单位: Academia Sinica - Taiwan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1176324529
• 发表日期: 1995
• 页码: 440-449
• 关键词: product-limit estimator; REPRESENTATIONS; regression; slope

摘要

In this paper, we prove that the Lynden-Bell estimator of a distribution function in the random truncation model is uniformly strong tent over the whole half line, a problem left open by Woodroofe.