A Noether theorem for random locations
| Autor: | Luo, Shunlong, Shen, Jie, Shen, Yi |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 26 pages |
| Databáze: | arXiv |
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