2018/11/08 by Shun-Long Luo, Jie Shen, Luo, Shunlong +3
Computer Science · Economics, Econometrics and Finance · Mathematics · #58J70 #60G10 #70H33 #Data Management and Algorithms #FOS: Mathematics #Game Theory and Voting Systems #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.1811.03490
openalex publication_date 2018/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a unified framework for random locations exhibiting some probabilistic symmetries such as stationarity, self-similarity, etc. A theorem of Noether's type is proved, which gives rise to a conservation law describing the change of the density function of a random location as the interval of interest changes. We also discuss the boundary and near boundary behavior of the distributions of the random locations.