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Estimation and Simulation of Autoregressive Hilbertian Processes with Exogenous Variables

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  • Julien Damon
  • Serge Guillas

Abstract

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Suggested Citation

  • Julien Damon & Serge Guillas, 2005. "Estimation and Simulation of Autoregressive Hilbertian Processes with Exogenous Variables," Statistical Inference for Stochastic Processes, Springer, vol. 8(2), pages 185-204, September.
    • Handle: RePEc:spr:sistpr:v:8:y:2005:i:2:p:185-204
    DOI: 10.1007/s11203-004-1031-6
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    Citations

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    Cited by:

    1. Blanke, D. & Bosq, D., 2016. "Detecting and estimating intensity of jumps for discretely observed ARMAD(1,1) processes," Journal of Multivariate Analysis, Elsevier, vol. 146(C), pages 119-137.
    2. Álvarez-Liébana, J. & Bosq, D. & Ruiz-Medina, M.D., 2017. "Asymptotic properties of a component-wise ARH(1) plug-in predictor," Journal of Multivariate Analysis, Elsevier, vol. 155(C), pages 12-34.
    3. Luke Durell & J. Thad Scott & Douglas Nychka & Amanda S. Hering, 2023. "Functional forecasting of dissolved oxygen in high‐frequency vertical lake profiles," Environmetrics, John Wiley & Sons, Ltd., vol. 34(4), June.
    4. Daniel R. Kowal & David S. Matteson & David Ruppert, 2019. "Functional Autoregression for Sparsely Sampled Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(1), pages 97-109, January.
    5. Dabo-Niang, Sophie & Guillas, Serge, 2010. "Functional semiparametric partially linear model with autoregressive errors," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 307-315, February.
    6. Horta, Eduardo & Ziegelmann, Flavio, 2018. "Conjugate processes: Theory and application to risk forecasting," Stochastic Processes and their Applications, Elsevier, vol. 128(3), pages 727-755.
    7. Horta, Eduardo & Ziegelmann, Flavio, 2018. "Dynamics of financial returns densities: A functional approach applied to the Bovespa intraday index," International Journal of Forecasting, Elsevier, vol. 34(1), pages 75-88.
    8. Mestre, Guillermo & Portela, José & Rice, Gregory & Muñoz San Roque, Antonio & Alonso, Estrella, 2021. "Functional time series model identification and diagnosis by means of auto- and partial autocorrelation analysis," Computational Statistics & Data Analysis, Elsevier, vol. 155(C).
    9. Cerovecki, Clément & Hörmann, Siegfried, 2017. "On the CLT for discrete Fourier transforms of functional time series," Journal of Multivariate Analysis, Elsevier, vol. 154(C), pages 282-295.

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