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Joint Estimation of Model Parameters and Outlier Effects in Time Series

时间序列模型参数与异常值效应的联合估计

Time series data are often subject to uncontrolled or unexpected interventions, from which various types of outlying observations are produced. Outliers in time series, depending on their nature, may have a moderate to significant impact on the effectiveness of the Standard methodology for time series analysis with respect to model identification, estimation, and forecasting. In this article we use an iterative outlier detection and adjustment procedure to obtain joint…

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Random Level-Shift Time Series Models, ARIMA Approximations, and Level-Shift Detection

随机水平突变时间序列模型、ARIMA 近似与水平突变检测

The main purpose of this article is to assess the performance of autoregressive integrated moving average (ARIMA) models when occasional level shifts occur in the time series under study. A random level-shift time series model that allows the level of the process to change occasionally is introduced. Between two consecutive changes, the process behaves like the usual autoregressive moving average (ARMA) process. In practice, a series generated from a random level-shift ARMA…

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