萊斯分布
在概率論與數理統計領域,萊斯分布(Rice distribution或Rician distribution)是一種連續概率分布,以美國科學家斯蒂芬·萊斯的名字命名,其概率密度函數為:
機率密度函數 ![]() Rice probability density functions for various v with σ=1. ![]() Rice probability density functions for various v with σ=0.25. | |||
累積分布函數 ![]() Rice cumulative density functions for various v with σ=1. ![]() Rice cumulative density functions for various v with σ=0.25. | |||
參數 |
| ||
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值域 | |||
機率密度函數 | |||
期望值 | |||
變異數 | |||
偏度 | (complicated) | ||
峰度 | (complicated) |
矩
編輯極限情況
編輯For large values of the argument, the Laguerre polynomial becomes (See Abramowitz and Stegun §13.5.1 (頁面存檔備份,存於網際網路檔案館))
It is seen that as becomes large or becomes small the mean becomes and the variance becomes
相關條目
編輯- Stephen O. Rice (1907-1986)
- 瑞利分布
- 萊斯衰落
外部連結
編輯- Yongjun Xie and Yuguang Fang, "A General Statistical Channel Model for Mobile Satellite Systems" IEEE Transactions on Vehicular Technology, VOL. 49, NO. 3, MAY 2000. http://www.fang.ece.ufl.edu/mypaper/tvt00_xie.pdf (頁面存檔備份,存於網際網路檔案館)