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Testing and estimating for change in long memory parameter

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We consider a long memory time series where the long-memory parameter H appears to change with time. We are interested in detecting and estimating the change-point and studying the asymptotic properties of the estimator and the test statistic. We apply the method to two practical data series to investigate the presence of change in H . Simulations and data examples confirm the validity of the test and estimation.

Keywords: Asymptotic property; Change-point; Estimation; Long memory

Document Type: Research Article

Affiliations: Department of Mathematics, Institute of Mathematical Science, Nanjing University, Nanjing, 210093, P.R. China

Publication date: 01 April 2006

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