4.1 Article

Consistency of a nonparametric conditional mode estimator for random fields

Journal

STATISTICAL METHODS AND APPLICATIONS
Volume 23, Issue 1, Pages 1-39

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10260-013-0239-2

Keywords

Kernel conditional mode estimation; Regression estimation; Spatial process

Funding

  1. AIRES-Sud, a programme from the French Ministry of Foreign and European Affairs
  2. Ministere de la Recherche Scientifique of Senegal

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Given a stationary multidimensional spatial process , we investigate a kernel estimate of the spatial conditional mode function of the response variable given the explicative variable . Consistency in norm and strong convergence of the kernel estimate are obtained when the sample considered is a -mixing sequence. An application to real data is given in order to illustrate the behavior of our methodology.

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