Dynamic sampling policy for detecting a change in distribution, with a probability bound on false alarm
成果类型:
Article
署名作者:
Yakir, B
刊物名称:
ANNALS OF STATISTICS
ISSN/ISSBN:
0090-5364
DOI:
10.1214/aos/1069362317
发表日期:
1996
页码:
2199-2214
关键词:
摘要:
We show that if dynamic sampling is feasible, then there exist surveillance schemes that satisfy a probability constraint on false alarm. Procedures are suggested for detecting a change of a normal mean from 0 to a (unknown) positive value. These procedures are optimal (up to a constant term) when the post-change mean is known, and almost optimal [up to an o(log(1/alpha)) term] when the post-change mean is unknown.