Aggregation in Area‐Yield Crop Insurance: The Linear Additive Model
探讨了区域产量作物保险中常用的线性加性模型的理论基础，指出其成立需满足两个条件：个体技术中系统风险与个体风险可加，且大数定律成立。文章还分析了偏离这些条件对模型结果的影响。
Previous analyses of area yield crop insurance have used a linear additive model (LAM) to express the relationship between individual and area yield. However, the theoretical foundations of the LAM are unknown. This shortcoming is addressed by establishing two conditions linking microvariables and LAM parameters. The conditions relate to the interaction of risks in individual technologies and the extent of aggregation. If systemic and individual risks are additive in individual yields, and if the law of large numbers hold, then the LAM obtains. This article also shows how departures from these conditions affect the results derived from a LAM analysis.