On Outlier Detection in Time Series
研究了高斯自回归移动平均过程中加性异常值的估计和检测,提出递归估计方法,并比较了似然比和得分准则与留k法诊断的关系。
SUMMARY The estimation and detection of outliers in a time series generated by a Gaussian auto-regressive moving average process is considered. It is shown that the estimation of additive outliers is directly related to the estimation of missing or deleted observations. A recursive procedure for computing the estimates is given. Likelihood ratio and score criteria for detecting additive outliers are examined and are shown to be closely related to the leave-k-out diagnostics studied by Bruce and Martin. The procedures are contrasted with those appropriate for innovational outliers.