Question: 1.31 ( ) www Consider two variables x and y having joint distribution p(x, y). Show that the differential entropy of this pair of variables

1.31 ( ) www Consider two variables x and y having joint distribution p(x, y). Show that the differential entropy of this pair of variables satisfies H[x, y] H[x] + H[y] (1.152)

with equality if, and only if, x and y are statistically independent.

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