We study statistics: mappings from distributions to real numbers. We characterize all statistics that are monotone with respect to first-order stochastic dominance, and additive for sums of independent random variables. We explore a number of applications, including a representation of stationary, monotone time preferences, generalizing Fishburn and Rubinstein (1982) to time lotteries.

翻译：我们研究统计:从分布到真实数字的分布图。我们描述所有单数统计,即一阶随机支配和独立随机变数总和的添加。我们探索了若干应用,包括固定、单调时间偏好、一般化Fishburn和Rubinstein(1982年)到时间抽奖。