数学
自回归模型
基准标记
歪斜
推论
系列(地层学)
点估计
应用数学
均方误差
区间估计
算法
估计
点(几何)
统计
置信区间
计算机科学
人工智能
电信
古生物学
几何学
管理
经济
生物
作者
Dan Guo,Yan Liang,Menghan Li
标识
DOI:10.1080/00949655.2023.2254441
摘要
This paper firstly studies the coefficients estimation of the AR model with normal innovation by proposing an asymptotically honest generalized fiducial (AHGF) method. Furthermore, the AHGF method is introduced to skew-normal setting. Simulation results show that the AHGF method shows more advantages than traditional methods. Specifically, the AHGF method often has a smaller mean square error for point estimation. And for interval estimation, the AHGF method behaves closer to the nominal level than other methods while maintaining comparable or shorter lengths. Finally, a temperature dataset and a sunspot series are applied to illustrate the proposed AHGF methodology.
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