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Monitoring parameter change in time series models

Edit Gombay and Daniel Serban

Journal of Multivariate Analysis, 2009, vol. 100, issue 4, 715-725

Abstract: Sequential tests that are generalizations of Page's CUSUM tests are proposed for detecting an abrupt change in any parameter, or in any collection of parameters of an autoregressive time series model. These tests accommodate nuisance parameters. They are based on large sample approximations to the efficient score vector under the null hypothesis of no change and under the alternative. The empirical power of the tests is evaluated in a simulation study. The new method performs better than the existing ones found in the literature if the criterion is the type I error probability, which can be unacceptably high for methods that minimize the expected value of the reaction time.

Keywords: primary; 62G20 secondary; 60F17; 62M10 Change point Efficient score vector Page's CUSUM test Sequential test Strong approximations Time series (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (11)

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