2022/12/02 by Seyed Mohammad Azimi‐Abarghouyi, Azimi-Abarghouyi, Seyed Mohammad
Computer Science · Physics and Astronomy · Mathematics · #Bayesian Methods and Mixture Models #Statistical Mechanics and Entropy #Advanced Statistical Methods and Models
paper · pdf · doi:10.48550/arxiv.2212.00923
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,∞) 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.