13 citations · 17 across the 12 of their papers we have counts for
7 papers · 1 filter
On the integrated mean squared error of wavelet density estimation for linear processes
Aleksandr Beknazaryan, Hailin Sang, Peter Adamic
Let be a linear process with density function . We study wavelet density estimation of . Under some regular conditions on the characterist…
Variable bandwidth kernel regression estimation
Janet Nakarmi, Hailin Sang, Lin Ge
In this paper we propose a variable bandwidth kernel regression estimator for observations in to improve the classical Nadaraya-Watson estimator. The bias i…
Shannon entropy estimation for linear processes
Timothy Fortune, Hailin Sang
In this paper, we estimate the Shannon entropy $S(f) = -\E[ \log (f(x))]$ of a one-sided linear process with probability density function . We employ the integral estimator $…
Cramér Type Moderate Deviations for Random Fields
Aleksandr Beknazaryan, Hailin Sang, Yimin Xiao
We study the Cramér type moderate deviation for partial sums of random fields by applying the conjugate method. The results are applicable to the partial sums of linear random fiel…
On mutual information estimation for mixed-pair random variables
Aleksandr Beknazaryan, Xin Dang, Hailin Sang
We study the mutual information estimation for mixed-pair random variables. One random variable is discrete and the other one is continuous. We develop a kernel method to estimate…
Central limit theorem for the variable bandwidth kernel density estimators
Janet Nakarmi, Hailin Sang
In this paper we study the ideal variable bandwidth kernel density estimator introduced by McKay (1993) and Jones, McKay and Hu (1994) and the plug-in practical version of the vari…