13 citations · 38 across the 26 of their papers we have counts for
7 papers · 1 filter
Limit theorems for linear random fields with innovations in the domain of attraction of a stable law
Magda Peligrad, Hailin Sang, Yimin Xiao +1
In this paper we study the convergence in distribution and the local limit theorem for the partial sums of linear random fields with i.i.d. innovations that have infinite second mo…
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…
Exact Moderate and Large Deviations for Linear Random Fields
Hailin Sang, Yimin Xiao
By extending the methods in Peligrad et al. (2014a, b), we establish exact moderate and large deviation asymptotics for linear random fields with independent innovations. These res…
On kernel estimators of density for reversible Markov chains
Martial Longla, Magda Peligrad, Hailin Sang
In this paper we investigate the kernel estimator of the density for a stationary reversible Markov chain. The proofs are based on a new central limit theorem for a triangular arra…
Further Refinement of Self-normalized Cram\a'{e}r-type moderate Deviations
Hailin Sang, Lin Ge
In this paper, we study the self-normalized Cram\a'{e}r-type moderate deviations for centered independent random variables with . The main resul…
Central Limit Theorem for Linear Processes with Infinite Variance
Magda Peligrad, Hailin Sang
This paper addresses the following classical question: giving a sequence of identically distributed random variables in the domain of attraction of a normal law, does the associate…