随机场

随机场(Random field)定义如下:

概率论中,由样本空间Ω = {0, 1, ..., G − 1}n取样构成的随机变量Xi所组成的S = {X1, ..., Xn}。若对所有的ω∈Ω下式均成立,则称π为一个随机场。

一些已有的随机场如:马尔可夫随机场(MRF),吉布斯随机场(GRF),条件随机场(CRF),和高斯随机场

參考文獻

  1. Besag, J. E. "Spatial Interaction and the Statistical Analysis of Lattice Systems", Journal of Royal Statistical Society: Series B 36, 2(May 1974), 192-236.
  2. Adler, RJ & Taylor, Jonathan. . Springer. 2007. ISBN 978-0-387-48112-8.
  3. Khoshnevisan. . Springer. 2002. ISBN 0-387-95459-7.
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