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arxiv: cs/0509013 · v1 · submitted 2005-09-05 · 💻 cs.IT · math.IT

On the variational distance of independently repeated experiments

classification 💻 cs.IT math.IT
keywords distancedistributionsprobabilityvariationalcannotdifferexperimentsfaster
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Let P and Q be two probability distributions which differ only for values with non-zero probability. We show that the variational distance between the n-fold product distributions P^n and Q^n cannot grow faster than the square root of n.

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