Fisher information matrix of Husimi distribution
文献类型:期刊论文
作者 | Luo, SL![]() |
刊名 | JOURNAL OF STATISTICAL PHYSICS
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出版日期 | 2001-03-01 |
卷号 | 102期号:5-6页码:1417-1428 |
关键词 | Fisher information Husimi distribution Fock Bargmann representation canonical commutation relation uncertainty principle |
ISSN号 | 0022-4715 |
英文摘要 | We calculate the Fischer information matrix of Husimi distribution in the Fock Bargmann representation. It turns out that the Fisher information of the position and that of the momentum move in opposite directions, and that a weighted trace of the Fisher information matrix is a constant independent of the Husimi distribution. This may be interpreted as a kind of uncertainty relation (in the spirit of Heisenberg uncertainty principle) from the statistical inference point of view. |
语种 | 英语 |
WOS记录号 | WOS:000168707700015 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16415] ![]() |
专题 | 应用数学研究所 |
通讯作者 | Luo, SL |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Luo, SL. Fisher information matrix of Husimi distribution[J]. JOURNAL OF STATISTICAL PHYSICS,2001,102(5-6):1417-1428. |
APA | Luo, SL.(2001).Fisher information matrix of Husimi distribution.JOURNAL OF STATISTICAL PHYSICS,102(5-6),1417-1428. |
MLA | Luo, SL."Fisher information matrix of Husimi distribution".JOURNAL OF STATISTICAL PHYSICS 102.5-6(2001):1417-1428. |
入库方式: OAI收割
来源:数学与系统科学研究院
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