Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 14, Issue 2


Published
on

April 8, 2023


Pages

180-202


DOI

Article

The convergence rate of the hazard function with functional explanatory variable: case of spacial data with k Nearest Neighbor method


Authors

Nadjet Bellatrach Affiliation:
Department of Mtahematics, Kasdi Merbah University of ouargula, Ouargula 30000, Algeria; Lab. of Statistics and Process Stochastic, University Djillali Liabes, BP 89 Sidi Bel Abbes 22000, Algeria
, Wahiba Bouabsa Affiliation:
Lab. of Statistics and Process Stochastic, University Djillali Liabes, BP 89 Sidi Bel Abbes 22000, Algeria
and Mohammed Kadi Attouch Affiliation:
Lab. of Statistics and Process Stochastic, University Djillali Liabes, BP 89 Sidi Bel Abbes 22000, Algeria


Abstract

In this paper we introduced a new hazard estimator when the co-variables are functional in nature. This estimator is a mix of both the k Nearest Neighbors shortly (kNN) procedure and spacial functional data. Then the convergence rate are introduced when the considered sample is collected in spatial order with mixing structure. In theory there is an estimation of the risk point then a discussion of application difficulties, such as data driven bandwidth choice. Furthermore, a comparison study based on simulated and real data is also provided to illustrate the performances and the usefulness of the kNN approach and to prove the highly sensitive of the kNN approach to the presence of even a small proportion of outliers in the data.


Keywords

Functional data, spacial data, kNN estimation, kernel estimate, convergence rate


Citation

Bellatrach, N., Bouabsa, W., & Attouch, M. K. (2023). The convergence rate of the hazard function with functional explanatory variable: Case of spacial data with k nearest neighbor method. Turkish Journal of Computer and Mathematics Education, 14(2), 180–202.

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