Outlier detection for stationary time series

被引:40
作者
Choy, K [1 ]
机构
[1] Komazawa Univ, Tokyo, Japan
关键词
additive outlier (AO); innovations outlier (IO); maximum likelihood estimation (MLE); spectrum-based outlier detection algorithm (SODA); spectral density; stationary time series; Whittle-type estimation;
D O I
10.1016/S0378-3758(01)00081-7
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];
摘要
Linear models are considered for outliers and their effects in stationary time series. Instead of using the exact maximum likelihood or the least squares methods, the Whittle-type (see Whittle, Ark. Math. 2 (1953) 423-434) estimators are derived for these models and an iterative procedure consisting of estimation, detection, removing cycles to specify the observed outlier-contaminated time series is proposed. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:111 / 127
页数:17
相关论文
共 23 条
[1]
OUTLIER DETECTION AND TIME-SERIES MODELING [J].
ABRAHAM, B ;
CHUANG, A .
TECHNOMETRICS, 1989, 31 (02) :241-248
[2]
ABRAHAM B, 1979, BIOMETRIKA, V66, P229, DOI 10.1093/biomet/66.2.229
[3]
[Anonymous], 1981, Time series data analysis and theory, DOI 10.1201/b15288-24
[4]
[Anonymous], 1994, Time Series Analysis: Univariate and Multivariate Analysis
[5]
INTERVENTION ANALYSIS WITH APPLICATIONS TO ECONOMIC AND ENVIRONMENTAL PROBLEMS [J].
BOX, GEP ;
TIAO, GC .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (349) :70-79
[6]
BRUCE AG, 1989, J ROY STAT SOC B MET, V51, P363
[7]
Burr I.W., 1976, STAT QUALITY CONTROL
[8]
CHANG I, 1983, TECHNOMETRICS
[9]
Cho S., 1993, J KOREAN STAT SOC, V22, P283
[10]
DELUNA X, 2001, IN PRESS J COMPUT GR