RN process


Give and two probability measures on it with, Suppose . Define
on by

and we suppose for all , then we can define

Properties of RN process


  1. ,

suppose otherwise,

其中

一定有某个的测度大于0, 从而积分小于0. 这就证明了...

  1. is a martingale.

for

  1. give an example that is not absolutely continuous w.r.t.

  2. In fact