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Subsampling for nonstationary time series with non-zero mean function

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  • Dudek, Anna E.
  • Lenart, Łukasz

Abstract

In this paper a subsampling approach for nonstationary time series with a non-zero mean function is proposed. It is applied for periodically and almost periodically processes. Two statistical tests are constructed. An example with real data is presented.

Suggested Citation

  • Dudek, Anna E. & Lenart, Łukasz, 2017. "Subsampling for nonstationary time series with non-zero mean function," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 252-259.
  • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:252-259
    DOI: 10.1016/j.spl.2017.06.002
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    References listed on IDEAS

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    1. Łukasz Lenart & Mateusz Pipień, 2013. "Seasonality Revisited - Statistical Testing for Almost Periodically Correlated Stochastic Processes," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 5(2), pages 85-102, June.
    2. Lenart, Łukasz, 2013. "Non-parametric frequency identification and estimation in mean function for almost periodically correlated time series," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 252-269.
    3. ŁUkasz Lenart & Jacek Leśkow & Rafał Synowiecki, 2008. "Subsampling in testing autocovariance for periodically correlated time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(6), pages 995-1018, November.
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    Citations

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    Cited by:

    1. Łukasz Lenart, 2017. "Examination of Seasonal Volatility in HICP for Baltic Region Countries: Non-Parametric Test versus Forecasting Experiment," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 9(1), pages 29-67, March.

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