Ratio Testing for Changes in the Long Memory Indexes in Presence of Breaks in Mean
Abstract
In this paper we consider the problem of detecting for breaks in the long memory indexes in presence of breaks in mean. The limiting distribution is derived under the null hypothesis and the alternative hypothesis, the ratio tests also diverge to infinity as the sample size grows. These results show that the reject rate seriously depends on the magnitude of change points. Finally, the Monte Carlo study presents that our test has reasonably good size and power properties.
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Bai, J. S. (1994). Least squares estimation of a shift in linear processes. Journal of Time Series Analysis, 15, 453-472.
Bai, J. S. (2010). Common breaks in means and variances for panel data. Original Research Article Journal of Econometrics, 78-92.
Beran, J. (1996). Testing for a change of the long memory parameter. Biometrika, 83, 627-638.
Beran, J. (1994). Statistic for long-memory processes. New York: Chapman & Hall.
Davidson, J., De, J., & Robert, M. (2000). The functional central limit theorem and weak convergence to stochastic integrals, II: Fractionally integrated processes. Econometric Theory, 16, 643-666.
Gustavo, F. D., & Fotis, P. (2015). Forecasting long memory series subject to structural change: A two-stage approach. Original Research Artical International Journal of Forecasting, 1056-1066.
Hou, J., & Perron, P. (2014). Modified local whittle estimator for long memory processes in the presence of low frequency (and other) contaminations. Original Research Article Journal of Econometrics, 309-328.
Jin, H., Tian, Z., & Qin, R. B. (2009). Subsampling tests for the mean change point with heavy-tailed innovations. Original Research Article Mathematics and Computers in Simulation, 2157-2166.
Khaleghi, A., & Ryabko, D. (2016). Nonparametric multiple change point in highly dependent time series. Original Research Article Theoretical Computer Science, 119-133.
Kokoszka, P., & Leipus, R. (1998). Change-point in the mean of dependent observations. Original Research Article Statistics & Probability Letters, 385-393.
Lebarbier, E. (2005). Detecting multiple change-points in the mean of Gaussian process by model selection. Signal Processing, 85, 717-736.
Li, F. X. Tian, Z. Xiao, Y. T., & Chen, Z, S. (2015). Variance change-point detection in panel data models. Economics Letters, 140-143.
Mandelbrot, B. B., & Vanness, J. W. (1968). Fractional Brownian motions fractional noises and applications. Siam Rev, 10, 422-37.
Marinucci, D., & Robinson, P. M. (1999). Alternative forms of fractional brownian motion. Journal of Statistical Planning and Inference, 80, 111-122.
Perron, P. (2005). Dealing with structural breaks (pp.1-92). Boston University Version.
Qi, P. Y., Duan, X. F., & Tian, Z. (2014). Bootstrap monitoring for mean changes of nonparametric regression models by wavelets. Systems Engineering Theory & Practice, 2650-2655.
Robinson, P. M. (2003). Time series with long memory. Oxford, UK: Oxford University Press.
Shao, X, F. (2011). A simple test of changes in mean in the possible presence of long-range dependence. Original Article, 32, 598-606.
Wang, L, H., & Wang, J, D. (2006). Change of variance problem for linear processes with long memory. Statistical Papers, 47, 279-298.
Wang, L. H. (2009). Memory parameter estimation for long range dependent random fields. Statistics & Probability Letters, 2297-2306.
Zhao, W, Z., Xia, Z, M., & Tian, Z. (2010). Ratio test for variance change point in linear process with long memory. Statistical Paper, 51, 397-407.
DOI: http://dx.doi.org/10.3968/9336
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