Inequalities.Let X Y and Z be a discrete joint ran

大学本科 已帮助: 时间:2024-11-25 21:58:03

Inequalities.Let X,Y and Z be a discrete joint random variables.Prove the validity of the following inequalities and find condition for equality. (1)H(XY|Z)≥H(X|Z) (2)I(XY;Z)≥I(X;Z) (3)I(X;Z|Y)≥I(Z;Y|X) - I(Z;Y)+I(X;Z) (4)H(XYZ) - H(XY)≤H(XZ) - H(X)
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