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Mean squared error properties of the kernel-based multi-stage median predictor for time series

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  • De Gooijer, Jan G.
  • Gannoun, Ali
  • Zerom, Dawit

Abstract

We propose a kernel-based multi-stage conditional median predictor for [alpha]-mixing time series of Markovian structure. Mean squared error properties of single-stage and multi-stage conditional medians are derived and discussed.

Suggested Citation

  • De Gooijer, Jan G. & Gannoun, Ali & Zerom, Dawit, 2002. "Mean squared error properties of the kernel-based multi-stage median predictor for time series," Statistics & Probability Letters, Elsevier, vol. 56(1), pages 51-56, January.
    • Handle: RePEc:eee:stapro:v:56:y:2002:i:1:p:51-56
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    References listed on IDEAS

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    1. Samanta, M., 1989. "Non-parametric estimation of conditional quantiles," Statistics & Probability Letters, Elsevier, vol. 7(5), pages 407-412, April.
    2. Pham, Tuan D. & Tran, Lanh T., 1985. "Some mixing properties of time series models," Stochastic Processes and their Applications, Elsevier, vol. 19(2), pages 297-303, April.
    3. Jones, M. C. & Hall, Peter, 1990. "Mean squared error properties of kernel estimates or regression quantiles," Statistics & Probability Letters, Elsevier, vol. 10(4), pages 283-289, September.
    4. Roussas, George G., 1991. "Recursive estimation of the transition distribution function of a Markov process: A symptotic normality," Statistics & Probability Letters, Elsevier, vol. 11(5), pages 435-447, May.
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    Cited by:

    1. Clements, Michael P. & Franses, Philip Hans & Swanson, Norman R., 2004. "Forecasting economic and financial time-series with non-linear models," International Journal of Forecasting, Elsevier, vol. 20(2), pages 169-183.
    2. Christophe Crambes & Ali Gannoun & Yousri Henchiri, 2014. "Modelling functional additive quantile regression using support vector machines approach," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 26(4), pages 639-668, December.

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