The Rate of Asymptotic Normality of Frequency Polygon Density Estimation for Spatial Random Fields

• 作者: Guodong Xing Shanchao Yang Xin Yang Yongming Li
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: FREQUENCY POLYGON Berry-Esseen BOUND RATE of ASYMPTOTIC NORMALITY Mixing Random Field
• 年，卷（期）: 2018,（6）
• 页码范围: 962-973
• 页数: 12页
• 分类号: O1

摘要

This paper is to investigate the convergence rate of asymptotic normality of frequency polygon estimation for density function under mixing random fields, which include strongly mixing condition and some weaker mixing conditions. A Berry-Esseen bound of frequency polygon is established and the convergence rates of asymptotic normality are derived. In particularly, for the optimal bin width , it is showed that the convergence rate of asymptotic normality reaches to ?when mixing coefficient tends to zero exponentially fast.