13 citations · 17 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…