论文标题
有限结果空间的相对可能性：对其公理化，特性和应用的系统检查
Relative Probability on Finite Outcome Spaces: A Systematic Examination of its Axiomatization, Properties, and Applications
论文作者
论文摘要
这项工作提出了概率作为相对度量而不是绝对度量的视图。为了证明这一概念，我们专注于有限的结果空间，并开发三个基本公理，以建立相对概率函数的要求。然后，我们提供了这些功能示例的库，以及用于组成它们的系统。此外，我们讨论了贝叶斯推断及其数字实施的相对版本。最后，我们证明了相对概率空间的拓扑结束，突出了其在限制下保留信息的能力。
This work proposes a view of probability as a relative measure rather than an absolute one. To demonstrate this concept, we focus on finite outcome spaces and develop three fundamental axioms that establish requirements for relative probability functions. We then provide a library of examples of these functions and a system for composing them. Additionally, we discuss a relative version of Bayesian inference and its digital implementation. Finally, we prove the topological closure of the relative probability space, highlighting its ability to preserve information under limits.
