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最快的变化检测

Quickest Change Detection
课程网址: http://videolectures.net/nipsworkshops09_hadjiliadis_qcd/  
主讲教师: Olympia Hadjiliadis
开课单位: 布鲁克林学院
开课时间: 2010-01-19
课程语种: 英语
中文简介:
这项工作研究了在多种替代方案中布朗运动的恒定漂移中的顺序变化检测问题。作为性能测量,提出了扩展的Lordenas标准。当变化后假设的可能漂移具有相同的符号时,设计用于检测绝对值漂移最小的CUSUM规则被证明是最佳的。如果漂移具有相反的符号,那么特定的2-CUSUM规则被证明是渐近最优的,因为误报的频率往往是有限的。
课程简介: This work examines the problem of sequential change detection in the constant drift of a Brownian motion in the case of multiple alternatives. As a performance measure an extended Lordenas criterion is proposed. When the possible drifts, assumed after the change, have the same sign, the CUSUM rule, designed to detect the smallest in absolute value drift, is proven to be the optimum. If the drifts have opposite signs, then a specifi c 2-CUSUM rule is shown to be asymptotically optimal as the frequency of false alarms tends to in finity.
关 键 词: 布朗运动; CUSUM规则; lordenas判据
课程来源: 视频讲座网
最后编审: 2020-06-01:吴雨秋(课程编辑志愿者)
阅读次数: 141