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Original Articles

Testing the difference between spectral densities of two independent periodically correlated (cyclostationary) time series models

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Pages 2320-2328 | Received 13 Apr 2017, Accepted 25 Apr 2018, Published online: 08 Oct 2018

References

  • Broszkiewicz-Suwaj, E., A. Makagon, R. Weron, and A. Wyłomańska. 2004. On detecting and modeling periodic correlation in financial data. Physica 336 (1–2):196–205.
  • Caiado, J., N. Crato, and D. Pena. 2006. A periodogram-based metric for time series classification. Computational Statistics & Data Analysis 50 (10):2668–84.
  • Coates, D. S., and P. J. Diggle. 1986. Tests for comparing two estimated spectral densities. Journal of Time Series Analysis 7 (1):7–20.
  • Dargahi-Noubary, G. R. 1992. Discrimination between gaussian time series based on their spectral differences. Communications in Statistics (Theory and Methods) 21 (9):2439–58.
  • Diggle, P. J., and N. I. Fisher. 1991. Nonparametric comparison of cumulative periodograms. Applied Statistics 40 (3):423–34.
  • Diggle, P. J., and I. Al Wasel. 1997. Spectral analysis of replicated biomedical time series. Journal of the Royal Statistical Society: Series C (Applied Statistics) 46 (1):31–71.
  • Franses, P. H. 1996. Periodicity and stochastic trends in economic time series. New York: Oxford University Press.
  • Gardner, W. A., A. Napolitano, and L. Paura. 2006. Cyclostationarity: Half a century of research. Signal Processing 86(4):639–97.
  • Gladyshev, E. G. 1961. Periodically correlated random sequences. Soviet Mathematics 1961 (2):385–8.
  • Hurd, H. L., and N. Gerr. 1991. Graphical methods for determining the presence of periodic correlation in. Journal of Time Series Analysis 12 (4):337–50.
  • Hurd, H. L., and A. G. Miamee. 2007. Periodically correlated sequences: Spectral theory and practice. Hoboken, NJ: John Wiley.
  • Kakizawa, Y., R. H. Shumway, and M. Taniguchi. 1998. Discrimination and clustering for multivariate time series. Journal of the American Statistical Association 93 (441):328–40.
  • Maharaj, E. A. 2002. Comparison of non-stationary time series in the frequency domain. Computational Statistics & Data Analysis 40 (1):131–41.
  • Mahmoudi, M. R., and M. Maleki. 2017. A new method to detect periodically correlated structure. Computational Statistics 32 (4):1569–81.
  • Mahmoudi, M. R., M. Maleki, and A. Pak. 2017. Testing the difference between two independent time series models. Iranian Journal of Science and Technology, Transactions A: Science 41 (3):665–9.
  • Nematollahi, A. R., A. R. Soltani, and M. R. Mahmoudi. 2017. Periodically correlated modeling by means of the periodograms asymptotic distributions. Statistical Papers 58 (4):1267–78.
  • Soltani, A. R., and M. Azimmohseni. 2007. Periodograms asymptotic distributions in periodically correlated processes and multivariate stationary processes: An alternative approach. Journal of Statistical Planning and Inference 137(4):1236–42.
  • Soltani, A. R., and M. Azimmohseni. 2007. Simulation of real-valued discrete-time periodically correlated gaussian processes with prescribed spectral density matrices. Journal of Time Series Analysis 28 (2):225–40.
  • Synowiecki, R. 2007. Consistency and application of moving block bootstrap for nonstationary time series with periodic and almost periodic structure. Bernoulli 13(4):1151–78.

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