[機統] Durrett 的獨立變數習題
因為想了很久實在不知道從何下手,想請各位幫忙解答
4.12
Let K≧3 be a prime and let X and Y independent r.v that are uniformly distri-
buted on {0,1...,K-1}. For 0≦n≦K, let Zn= X+nY mod K. Show that Zo, Z1,...,
Z(K-1) are pairwise independent, i.e., each pair is independent, but if we
know the values of two of the variables then we know the values of all the
others.
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