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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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    References listed on IDEAS

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    1. Hyndman, R.J. & Yao, Q., 1998. "Nonparametric Estimation and Symmetry Tests for Conditional Density Functions," Monash Econometrics and Business Statistics Working Papers 17/98, Monash University, Department of Econometrics and Business Statistics.
    2. Quah, Danny T, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," Economic Journal, Royal Economic Society, vol. 106(437), pages 1045-1055, July.
    3. Quah, Danny, 2001. "Searching for prosperity a comment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 55(1), pages 305-319, December.
    4. Fan, Jianqing & Yao, Qiwei & Tong, Howell, 1996. "Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems," LSE Research Online Documents on Economics 6704, London School of Economics and Political Science, LSE Library.
    5. Ana Lamo, 2000. "On convergence empirics: same evidence for Spanish regions," Investigaciones Economicas, Fundación SEPI, vol. 24(3), pages 681-707, September.
    6. Bashtannyk, David M. & Hyndman, Rob J., 2001. "Bandwidth selection for kernel conditional density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 36(3), pages 279-298, May.
    7. Fingleton, Bernard, 1997. "Specification and Testing of Markov Chain Models: An Application to Convergence in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(3), pages 385-403, August.
    8. Enrique Lopez Bazo & Esther Vaya Valcarce & Antonio Jose Mora & Jordi Surinach Caralt, 1997. "Regional economic dynamics and convergence in the european union," Working Papers in Economics 12, Universitat de Barcelona. Espai de Recerca en Economia.
    9. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-443, December.
    10. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    11. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
    12. Magrini, Stefano, 1999. "The evolution of income disparities among the regions of the European Union," Regional Science and Urban Economics, Elsevier, vol. 29(2), pages 257-281, March.
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    Cited by:

    1. 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.
    2. Yen-Chi Chen, 2017. "Modal Regression using Kernel Density Estimation: a Review," Papers 1710.07004, arXiv.org, revised Dec 2017.
    3. 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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