Under appropriate integrability conditions the risk measure of the sample measures for a law invariant risk measure converge almost surely to the risk measure of the sampled random variable. The results follow from general convergence theorems based on the theory of Orlicz spaces.

翻译：在适当的融合条件下,法律变量风险评估措施抽样措施的风险度量几乎肯定会与抽样随机变量的风险度量一致,其结果来自基于奥利茨空间理论的一般趋同理论。