Collaborative Research: Distributome--An Interactive Web-based Resource for Probability Distributions

这个项目开发了一个新的计算和教育资源，分布，探索，发现和各种概率分布的互动。Distributome项目利用了NSF成功项目的成果，这些项目在开发互动学习材料、推动技术进步以及建立和维持数字图书馆方面持续了数十年;所有这些都与有效的传播和专业发展基础设施相结合，以确保持续使用。这个项目有几个新的特点。该资源为基于社区的开发构建基础设施，扩展和验证由专家，学习者和教育者存储，处理，搜索，遍历和更新的分发元数据。Distributome提供了一个图形用户界面，用于交互式探索不同的分发资源，以及一个网络服务，用于查询，发现和计算利用这些分发资源的其他软件程序和工具。具体而言，该项目提供了一个开放的（开发和利用），平台无关，可扩展和广泛的框架，用于导航，发现和使用概率分布在不同的应用程序。整个框架使用XML/JAVA/HTML/Wiki/MathML/LaTeX构建，并通过www.Distributome.org免费提供给整个社区。（将这些图形工具和教学材料整合到他们的课程中，并参与由活动家骨干领导的独特虚拟社区），最重要的是学习者（探索，验证和理解概率分布和模型在实际问题解决中的应用）。概率建模是解决驱动生物，工程，健康，物理科学和社会问题的根本，现代STEM课程。Distributome基础设施能够表示，演示，计算和可视化大量的概率分布，它们的相互关系及其应用程序与相关的类和课外活动集成，以促进学习。

This project develops a new computational and educational resource, the Distributome, for exploring, discovering and interacting with varieties of probability distributions. The Distributome project leverages the results of successful NSF projects that have been sustained over decades of work in developing interactive learning materials, forging technological advances, and building and sustaining digital libraries; all integrated with an effective dissemination and professional development infrastructure to ensure on-going use. There are several novel features of this project. This resource builds the infrastructure for community based development, expands and validates the distributions' meta-data that is stored, processed, searched, traversed and updated by experts, learners, and educators. The Distributome provides a graphical user interface for interactive exploration of diverse distribution resources, as well as a web-service for query, discovery and computational utilization of these distribution resources by other software programs and tools. Specifically, this project provides an open (development and utilization), platform-agnostic, extensible and broad framework for navigation, discovery and usage of probability distributions in diverse applications. The entire framework is built using XML/JAVA/HTML/Wiki/MathML/LaTeX and is freely made available to the entire community via www.Distributome.org. The user-base of the Distributome infrastructure includes both educators (integrating these graphical tools and instructional materials in their course curricula and participating in a unique virtual community led by a cadre of activists) and most importantly learners (exploring, validating and understanding the use of probability distributions and models for practical problem solving). Probability modeling is at the root of solving driving biological, engineering, health, physical science, and social problems fundamental to the modern STEM curriculum. The Distributome infrastructure enables representation, demonstration, computation and visualization of a large number of probability distributions, their interrelations and their applications integrated with associated class and out-of-class activities to advance learning.