DOI: 10.15672/hujms.1294382 ISSN: 2651-477X

Local linear-kNN smoothing for Semi-functional partial linear regression

Kedir NASSİMA HOUDA, Benchikh TAWFİK, Naceri AMİNA, Fetitah OMAR
  • Geometry and Topology
  • Statistics and Probability
  • Algebra and Number Theory
  • Analysis
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The aim of this paper is to study a semi-functional partial linear regression model. The estimators are constructed by k-nearest neighbors local linear method. Some asymptotic results are established for an i.i.d sample under certain conditions, including asymptotic normality of the parametric component and the almost certain convergence (with rate) of the non-parametric component. Lastly, using cross-validation, the performances of our estimation method are presented on simulated data and on real data by comparing them with other known approaches for semi-functional partial linear regression models.

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