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20112023
most citedCramér Type Moderate Deviations for Random Fields

13 citations · 17 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.ST2020

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 $…

math.PR2020★ 1 cited

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…

math.PR2020

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…