different between identically vs iid

English

identical +? -ly

identically (comparative more identically, superlative most identically)

In an identical manner.
It was hard to tell the twins apart: they even spoke identically.
(mathematics) In terms of an identity.
two expressions that are identically equal to each other
if a holomorphic function $f(z)$ approaches zero as $z\to \infty$ , then $f$ is identically zero (=equal to zero for any value of $z$ )

identically in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
identically in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.

iid (not comparable)

(statistics, probability theory) Initialism of independent and identically distributed.

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