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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-26 and was most recently seen on 2026-06-26.
The Kac–Bernstein theorem is one of the earliest and most well-known characterization theorems in mathematical statistics. It states that the independence of the sum and difference of two independent random variables characterizes the normal distribution. The theorem was proved independently by the Polish-American mathematician Mark Kac and the Soviet mathematician Sergei Bernstein.
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