Almost sure and complete consistency of the estimator in nonparametric regression model for negatively orthant dependent random variables
Bull. Korean Math. Soc.
Published online December 4, 2019
Liwang Ding
Nanjing University of Science and Technology
Abstract : In this paper, we consider the nonparametric regression model with
negatively orthant dependent random variables. The wavelet procedures
are developed to estimate the regression function. For the wavelet estimator of
unknown function g(·), the almost sure consistency is derived and the complete
consistency is established under the mild conditions. Our results generalize and
improve some known ones for independent random variables and dependent random
variables.
Keywords : Negatively orthant dependent random variables,Wavelet estimator,Almost sure consistency,Complete consistency
MSC numbers : 60E05,60F15,62G05
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