Change-Points: From Sequential Detection to Biology and Back

被引:29
作者
Siegmund, David [1 ]
机构
[1] Stanford Univ, Dept Stat, Stanford, CA 94305 USA
来源
SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS | 2013年 / 32卷 / 01期
基金
美国国家科学基金会;
关键词
Average run length; Change-point detection; Expected detection delay; False alarm rate; NUISANCE PARAMETER; MAXIMA; CHI(2); NUMBER;
D O I
10.1080/07474946.2013.751834
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Modern change-point detection had its origins about 50 years ago in the work of Page, Shiryaev, and Lorden, who focused on sequential detection of a change-point in a sequence of observations. Motivation often arose from sequential quality control: to detect a disruption in the quality of a continuous production process. More recently, motivation from a broad range of applications has led to a variety of different problem formulations. In this article I will review this history with particular attention to a selected subset of applications arising in biology and to common features of different likelihood-based formulations.
引用
收藏
页码:2 / 14
页数:13
相关论文
共 39 条
[1]  
Adler R. J., 1981, GEOMETRY RANDOM FIEL
[2]  
BARNARD GA, 1959, J ROY STAT SOC B, V21, P239
[3]   HYPOTHESIS TESTING WHEN A NUISANCE PARAMETER IS PRESENT ONLY UNDER ALTERNATIVE [J].
DAVIES, RB .
BIOMETRIKA, 1977, 64 (02) :247-254
[4]  
DAVIES RB, 1987, BIOMETRIKA, V74, P33, DOI 10.2307/2336019
[5]   Tubes and spheres in n spaces, and a class of statistical problems [J].
Hotelling, H .
AMERICAN JOURNAL OF MATHEMATICS, 1939, 61 :440-460
[6]   EXTREME VALUES IN GI-G-1 QUEUE [J].
IGLEHART, DL .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (02) :627-+
[7]  
Karlin D.A., 1994, ANNPROB, V22, P2022
[8]   STATISTICAL COMPOSITION OF HIGH-SCORING SEGMENTS FROM MOLECULAR SEQUENCES [J].
KARLIN, S ;
DEMBO, A ;
KAWABATA, T .
ANNALS OF STATISTICS, 1990, 18 (02) :571-581
[9]   A spatial scan statistic [J].
Kulldorff, M .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1997, 26 (06) :1481-1496
[10]  
Lai TL, 2006, ADV ECONOMETRICS, V20, P205, DOI 10.1016/S0731-9053(05)20027-0