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Statistical distribution arithmetic

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难度
5/5
预计耗时
一周以上
新手友好度
25/100
Issue 类型
功能
描述清晰度
需要澄清
活跃度
活跃
技术栈
csharp
领域
data

调研方向

Start with companion issue #1376 and the integration work that must precede this investigation. Explore how distributions, dependence, and arithmetic could be represented, including when well-known distributions can use simplified nodes. Done means establishing whether integral-form processing is feasible for the relevant functions and documenting the resulting approach.

由索引模型根据 Issue 内容生成。

描述

Companion to #1376. An approximate value (such as a variable with measurement error) should really be interval arithmetic. However, most measurements in life come with a distribution. For example as normal distribution. Interval arithmetic necessarily assumes a uniform distribution by asserting that the variable can be simply described using its minimum and maximum values.

The idea here is to figure out how we can process such distributions. For example, the summation of two normally distributed variables are still normally distributed while the summation of the square of independent standard normal variables distribute as chi-squared. Concepts like dependence also need to be exposed.

Whether we are able to process these distributions in integral form properly for all functions is part of this investigation. Where convenient, a simplified node representing a well known distribution should be used instead. Therefore, this must only start after integration work is done.

主要语言
C#
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平均合并
2 小时 22 分钟
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环境准备

  • 没有 Dockerfile 或 Docker Compose 文件
  • 没有 Pull Request 模板
  • 阅读贡献指南

从这里开始

  1. 先读完整个 Issue,再读项目的贡献指南。
  2. 在 Issue 下留言说明你要接手 —— 这能避免两个人做同样的事。
  3. Fork 仓库,在一个分支上完成修改。
  4. 提交 Pull Request,并在描述里引用这个 Issue 编号。

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