In the context of Donsker’s theorem, consider the range f the random walk. Show that n-1/2Y n d ? Y.

In the context of Donsker’s theorem, consider the range         f the random walk. Show that n−1/2Yn d → Y , where E[Y ]=2/π. Express Y as a functional of a Brownian motion. 

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In the context of Donsker’s theorem, consider the range f the random walk. Show that n-1/2Y n d ? Y.
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