On the strong uniform consistency for relative error of the regression function estimator for censoring times series model

Bouhadjera Feriel; Elias Ould Said

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arXiv · 1910.01964

On the strong uniform consistency for relative error of the regression function estimator for censoring times series model

Bouhadjera Feriel·Elias Ould Said

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Abstract

Consider a random vector (X, T), where X is d-dimensional and T is one-dimensional. We suppose that the random variable T is subject to random right censoring and satisfies the $\alpha$-mixing property. The aim of this paper is to study the behavior of the kernel estimator of the relative error regression and to establish its uniform almost sure consistency with rate. Furthermore, we have highlighted the covariance term which measures the dependency. The simulation study shows that the proposed estimator performs well for a finite sample size in different cases.

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BibTeX RIS

Bouhadjera Feriel, Elias Ould Said. 2019-10-04. On the strong uniform consistency for relative error of the regression function estimator for censoring times series model. https://arxiv.org/abs/1910.01964

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