The self-normalized Donsker theorem revisited

Preprint English OPEN
Parczewski, Peter (2016)

We extend the Poincar\'{e}--Borel lemma to a weak approximation of a Brownian motion via simple functionals of uniform distributions on n-spheres in the Skorokhod space $D([0,1])$. This approach is used to simplify the proof of the self-normalized Donsker theorem in Cs\... View more
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