Ye, Azhong Hyndman, Rob J. Li, Zinai Local linear multivariate regression with variable bandwidth in the presence of heteroscedasticity We present a local linear estimator with variable bandwidth for multivariate non-parametric regression. We prove its consistency and asymptotic normality in the interior of the observed data and obtain its rates of convergence. This result is used to obtain practical direct plug-in bandwidth selectors for heteroscedastic regression in one and two dimensions. We show that the local linear estimator with variable bandwidth has better goodness-of-fit properties than the local linear estimator with constant bandwidth, in the presence of heteroscedasticity. monash:7375;Heteroscedasticity;Kernel smoothing;1959.1/42028;Local linear regression;Variable bandwidth;2006;Plug-in bandwidth 2017-06-07
    https://bridges.monash.edu/articles/journal_contribution/Local_linear_multivariate_regression_with_variable_bandwidth_in_the_presence_of_heteroscedasticity/5085253
10.4225/03/59378e30aafac