论文标题
具有三维统计应用程序的可访问概率分布
A Tractable Probability Distribution with Applications in Three-Dimensional Statistics
论文作者
论文摘要
本文介绍并表征了适用于三维随机空间中标准分布的连续概率分布的新家族，特别是针对三个具有非零均值的随机高斯变量的欧几里得规范。该分布在半无限范围$ [0，\ infty）$上指定，并且以其计算障碍性而闻名。在这个基础的基础上，我们还引入了一个单独的连续概率分布系列，适用于三维随机空间中的功率分布。尽管以前未知，但这些分布对众多应用具有吸引力，其中一些应用在这项工作中进行了讨论。
This paper introduces and characterizes a new family of continuous probability distributions applicable to norm distributions in three-dimensional random spaces, specifically for the Euclidean norm of three random Gaussian variables with non-zero means. The distribution is specified over the semi-infinite range $[0,\infty)$ and is notable for its computational tractability. Building on this foundation, we also introduce a separate family of continuous probability distributions suitable for power distributions in three-dimensional random spaces. Despite being previously unknown, these distributions are attractive for numerous applications, some of which are discussed in this work.
