13 citations · 17 across the 12 of their papers we have counts for
14 papers
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…
A Statistician Teaches Deep Learning
G. Jogesh Babu, David Banks, Hyunsoon Cho +3
Deep learning (DL) has gained much attention and become increasingly popular in modern data science. Computer scientists led the way in developing deep learning techniques, so the…
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 $…
A Local Limit Theorem for Linear Random Fields
Timothy Fortune, Magda Peligrad, Hailin Sang
In this paper, we establish a local limit theorem for linear fields of random variables constructed from independent and identically distributed innovations each with finite second…
A Berry-Esseen bound of order for martingales
Songqi Wu, Xiaohui Ma, Hailin Sang +1
Renz (Ann. Probab. 1996) has established a rate of convergence in the central limit theorem for martingales with some restrictive conditions. In the present paper a mo…