Probability distributions are useful for modeling, simulation, analysis, and inference on varieties of natural processes and physical phenomena. There are uncountably many probability distributions. However, a few dozen families of distributions are commonly defined and are frequently used in practice for problem solving, experimental applications, and theoretical studies. In this paper, we present a new computational and graphical infrastructure, the Distributome, which facilitates the discovery, exploration and application of diverse spectra of probability distributions. The extensible Distributome infrastructure provides interfaces for (human and machine) traversal, search, and navigation of all common probability distributions. It also enables distribution modeling, applications, investigation of inter-distribution relations, as well as their analytical representations and computational utilization. The entire Distributome framework is designed and implemented as an open-source, community-built, and Internet-accessible infrastructure. It is portable, extensible and compatible with HTML5 and Web2.0 standards (http://Distributome.org). We demonstrate two types of applications of the probability Distributome resources: computational research and science education. The Distributome tools may be employed to address five complementary computational modeling applications (simulation, data analysis and inference, model-fitting, examination of the analytical, mathematical and computational properties of specific probability distributions, and exploration of the inter-distributional relations). Many high school and college science, technology, engineering and mathematics (STEM) courses may be enriched by the use of modern pedagogical approaches and technology-enhanced methods. The Distributome resources provide enhancements for blended STEM education by improving student motivation, augmenting the classical curriculum with interactive webapps, and overhauling the learning assessment protocols.

中文翻译：

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概率分布组：用于探索概率分布的属性、相互关系和应用的 Web 计算基础设施。

概率分布可用于对各种自然过程和物理现象进行建模、模拟、分析和推理。概率分布有无数种。然而，通常定义了几十个分布族，并且在实践中经常用于解决问题、实验应用和理论研究。在本文中，我们提出了一种新的计算和图形基础设施——Distributome ，它有助于发现、探索和应用不同的概率分布谱。可扩展的Distributome基础设施提供了用于（人类和机器）遍历、搜索和导航所有常见概率分布的接口。它还支持分布建模、应用、分布间关系的调查及其分析表示和计算利用。整个Distributome框架被设计和实现为开源、社区构建且可通过 Internet 访问的基础设施。它是可移植的、可扩展的并且与 HTML5 和 Web2.0 标准兼容 (http://Distributome.org)。我们展示了概率分布组资源的两种应用：计算研究和科学教育。Distributome工具可用于解决五种互补的计算建模应用（模拟、数据分析和推理、模型拟合、特定概率分布的分析、数学和计算属性的检查以及分布间关系的探索）。许多高中和大学的科学、技术、工程和数学 (STEM) 课程可以通过使用现代教学方法和技术增强方法来丰富。Distributome资源通过提高学生积极性、通过交互式网络应用程序增强经典课程以及彻底改革学习评估协议来增强混合 STEM 教育。