16 papers · 1 filter
Nonparametric estimation of sliced inverse regression by the -nearest neighbors kernel method
Luran Bengono Mintogo, Emmanuel de Dieu Nkou, Guy Martial Nkiet
We investigate nonparametric estimation of sliced inverse regression (SIR) via the -nearest neighbors approach with a kernel. An estimator of the covariance matrix of the condit…
Rates of strong uniform consistency for the -nearest neighbors kernel estimators of density and regression function
Luran Bengono Mintogo, Emmanuel de Dieu Nkou, Guy Martial Nkiet
We adress the problem of consistency of the -nearest neighbors kernel estimators of the density and the regression function in the multivariate case. We get the rates of strong…
On estimation and prediction in a spatial semi-functional linear regression model
Stéphane Bouka, Kowir Pambo Bello, Guy Martial Nkiet
We tackle estimation and prediction at non-visted sites in a spatial semi-functional linear regression model with derivatives that combines a functional linear model with a nonpara…
An independence test for functional variables based on kernel normalized cross-covariance operator
Terence Kevin Manfoumbi Djonguet, Guy Martial Nkiet
We propose an independence test for random variables valued into metric spaces by using a test statistic obtained from appropriately centering and rescaling the squared Hilbert-Sch…
Wavelet-based estimation in a semiparametric regression model
Emmanuel de Dieu Nkou, Guy Martial Nkiet
In this paper, we introduce a wavelet-based method for estimating the EDR space in Li's semiparametric regression model for achieving dimension reduction. This method is obtained b…
Asymptotic normality of a generalized maximum mean discrepancy estimator
Armando Sosthene Kali Balogoun, Guy Martial Nkiet, Carlos Ogouyandjou
In this paper, we propose an estimator of the generalized maximum mean discrepancy between several distributions, constructed by modifying a naive estimator. Asymptotic normality i…