标题： 各向同性自回归场的聚合 显示英文标题

标题： Aggregation of isotropic autoregressive fields

摘要： 本文构成了一篇对Azomahou发表在JSPI上的文章的勘误。 研究了具有随机系数的格点上各向同性最近邻四模型的聚合问题。 对于一大类自回归系数的分布律，详细研究了由此得到的随机场的谱密度。 根据这一分布律，聚合场可能表现出短记忆或各向同性的长记忆特性。 显示英文摘要

摘要： This note constitutes a corrigendum to the article of Azomahou, JSPI, 139:2581-2597. The aggregation of isotropic four nearest neighbors autoregressive models on the lattice, with random coefficient, is investigated. The spectral density of the resulting random field is studied in details for a large class of law of the AR coefficient. Depending on this law, the aggregated field may exhibit short memory or isotropic long memory.