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The Contraction Method on C([0,1]) and Donsker's ... - Eurandom
The Contraction Method on C([0,1]) and Donsker's ... - Eurandom
The Contraction Method on C([0,1]) and Donsker's ... - Eurandom
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Properties of the Zolotarev distance ζs<br />
It holds ζs(X , Y ) < ∞, if<br />
E||X || s , E||Y || s < ∞, E[g(X , . . . , X )] = E[g(Y , . . . , Y )]<br />
for all k ≤ m <strong>and</strong> multilinear, bounded functi<strong>on</strong>s<br />
g : C([0, 1]) k → R.<br />
In the following assume finiteness of the c<strong>on</strong>sidered ζs-distances<br />
Henning Sulzbach J. W. Goethe-Universität Frankfurt a. M. <str<strong>on</strong>g>The</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>tracti<strong>on</strong></str<strong>on</strong>g> <str<strong>on</strong>g>Method</str<strong>on</strong>g> <strong>on</strong> C([0, 1]) <strong>and</strong> D<strong>on</strong>sker’s <str<strong>on</strong>g>The</str<strong>on</strong>g>orem
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