在量子逻辑上存在共同分布的问题
Oľga Nánásiová1, Karla Čipková1, Michal Zákopčan1
1Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovičova 3, 841 04 Bratislava, Slovakia.
Entropy (Basel, Switzerland)
|January 8, 2025
概括
这项研究使用量子逻辑模拟了联合概率分布,扩展了在边际分布已知时,对多个随机变量进行s-map工具的先前发现.
科学领域:
- 可能性理论概率理论.
- 量子逻辑 量子逻辑 量子逻辑
- 数学建模的数学建模
背景情况:
- 一般化概率空间需要先进的建模技术.
- s-map函数是虚拟联合概率的关键工具,特别是在不兼容的命题中.
研究的目的:
- 用量子逻辑对一般化概率空间的联合分布进行建模.
- 将s-map函数的应用扩展到具有三个或更多随机变量的场景.
主要方法:
- 利用量子逻辑作为基本的代数结构.
- 应用s-map函数来构建虚拟联合概率.
- 从2020年开始延长现有的关于联合分发的结论.
主要成果:
- 给出已知的边际分布,证明了 (n+1) 变量联合分布的结果的扩展.
- 在涉及量子逻辑与布尔代数块的特定情况下展示了这种分布的存在.
结论:
- 量子逻辑为模拟复杂的概率分布提供了一个强大的框架.
- s-map函数对于构建联合概率,即使是与不兼容的变量,是多功能,其应用是扩展到多变量的情况下.
关键词:
一般化的概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率概率联合分销联合分销用于同时测量的地图.这是边际分布的边际分布.不兼容性的不兼容性.概率空间是一个概率空间.量子逻辑是一个量子逻辑.相关概念视频
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