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May 25, 2010 at 23:41 comment added Tom LaGatta I could be wrong about the constants, but I would bet that some statement like that is true. For a good presentation of Donsker's theorem (much better than the Wikipedia article), see Section 7.6 of Durrett's Probability.
May 25, 2010 at 23:00 comment added Yakov Shlapentokh-Rothman Sorry if this is a silly question but my probability knowledge is minimal. Are you saying that $\lim_{n\to\infty}\frac{C_n}{\sqrt{n/5}} = 1$ and that this follows easily from Donsker's theorem?
May 25, 2010 at 22:41 history answered Tom LaGatta CC BY-SA 2.5