The limiting behavior of a modified maximal symmetric 2s-spacing with applications

• 成果类型: Article
• 署名作者: Swanepoel, JWH
• 署名单位: North West University - South Africa
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1018031099
• 发表日期: 1999
• 页码: 24-35
• 关键词: spacings; LAWS

摘要

This paper presents a solution to an open problem in astrophysics, namely that of estimating nonparametrically the strength of the pulsed signal in a series of high-energy photon arrival times. The newly proposed estimator, based on a modified maximal symmetric. 2s-spacing, is shown to be strongly consistent and asymptotically normally distributed, and a Monte Carlo study shows that its small and moderate sample behavior is very satisfactory.. Additionally, new results regarding the weak and strong limiting behavior of modified maximal 2s-spacings are derived.