Changes of Variance in First‐Order Autoregressive Time Series Models—With an Application

Dean W. Wichern, Robert B. Miller and Hsu Der‐Ann

Journal of the Royal Statistical Society Series C, 1976, vol. 25, issue 3, 248-256

Abstract: A two‐stage method is presented for detecting step changes of variance in first‐order autoregressive time series models. Potential change points are initially located using a “moving‐block” procedure. Given initial change points, an iterative likelihood argument is used to develop estimators of the change points, variances and autoregressive parameters. The efficacy of the method is examined with computer simulation experiments, and a numerical example using stock market data is discussed.

Date: 1976
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