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Note on conditional mode estimation for functional dependent data

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  • Sophie Dabo-Niang
  • Ali Laksaci

Abstract

We consider mixing observations and deal with the estimation of the conditional mode of a scalar response variable given a random variable taking values in a semi-metric space. We provide a convergence rate in norm of the estimator.

Suggested Citation

  • Sophie Dabo-Niang & Ali Laksaci, 2010. "Note on conditional mode estimation for functional dependent data," Statistica, Department of Statistics, University of Bologna, vol. 70(1), pages 83-94.
    • Handle: RePEc:bot:rivsta:v:70:y:2010:i:1:p:83-94
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    Cited by:

    1. Yen-Chi Chen, 2017. "Modal Regression using Kernel Density Estimation: a Review," Papers 1710.07004, arXiv.org, revised Dec 2017.
    2. Somia Ayad & Ali Laksaci & Saâdia Rahmani & Rachida Rouane, 2020. "On the local linear modelization of the conditional density for functional and ergodic data," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 237-254, August.
    3. Oussama Bouanani & Saâdia Rahmani & Ali Laksaci & Mustapha Rachdi, 2020. "Asymptotic normality of conditional mode estimation for functional dependent data," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 465-481, June.
    4. Sophie Dabo-Niang & Zoulikha Kaid & Ali Laksaci, 2015. "Asymptotic properties of the kernel estimate of spatial conditional mode when the regressor is functional," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 131-160, April.
    5. Dabo-Niang, Sophie & Kaid, Zoulikha & Laksaci, Ali, 2012. "On spatial conditional mode estimation for a functional regressor," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1413-1421.

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