scholarly journals Nonparametric Regression Estimation for Circular Data

Proceedings ◽  
2019 ◽  
Vol 21 (1) ◽  
pp. 27
Author(s):  
Andrea Meilán-Vila ◽  
Mario Francisco-Fernández ◽  
Rosa M. Crujeiras ◽  
Agnese Panzera

Non-parametric regression with a circular response variable and a unidimensional linear regressor is a topic which was discussed in the literature. In this work, we extend the results to the case of multivariate linear explanatory variables. Nonparametric procedures to estimate the circular regression function are formulated. A simulation study is carried out to study the sample performance of the proposed estimators.

Author(s):  
Huijun Guo ◽  
Junke Kou

This paper considers wavelet estimations of a regression function based on negatively associated sample. We provide upper bound estimations over [Formula: see text] risk of linear and nonlinear wavelet estimators in Besov space, respectively. When the random sample reduces to the independent case, our convergence rates coincide with the optimal convergence rates of classical nonparametric regression estimation.


2008 ◽  
Vol 49 ◽  
pp. 699
Author(s):  
L. Sandamali Dharmasena ◽  
Basil M De Silva ◽  
Panlop Zeephongsekul

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