This article is focused on estimating a quantity of interest in the context of military impact assessment that we shall call adversarial risk. We formulate the adversarial risk as a function of the multiobject state describing a group of weapons, and propose two approaches to estimate it using multiobject filters. The first, optimal, approach is tailored to filters for point processes, and produces the mean estimate of the adversarial risk and its variance. The second, naïve, approach is applicable to any filter producing point estimates of the multiobject state, yet it is not capable of equipping a risk estimate with an indicator of its quality. We develop an implementation of the optimal approach for a particular multiobject filter and compare it to the naïve approach.

中文翻译：

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多目标过滤的对抗风险公式

本文的重点是在军事影响评估的背景下估计一个我们称之为对抗性风险的兴趣量。我们将对抗风险公式化为描述一组武器的多目标状态的函数，并提出了两种使用多目标过滤器来估计它的方法。第一种最优方法适用于点过程的过滤器，并产生对抗风险及其方差的平均估计。第二种简单的方法适用于任何过滤器生成多目标状态的点估计，但它无法为风险估计配备质量指标。我们为特定的多对象过滤器开发了一种最佳方法的实现，并将其与朴素的方法进行了比较。