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Contents of PMS, Vol. 15, Fasc. ,
pages 327 - 351
 

EDGEWORTH EXPANSIONS AND BOOTSTRAP FOR DEGENERATE VON MISES STATISTICS

F. Götze
R. Zitikis

Abstract: We prove Edgeworth expansions for degenerate von Mises statistics like the Beran, Watson, and Cramér-von Mises goodness-of-fit statistics. Furthermore, we show that the bootstrap approximation works up to an error of order O(N -1/2) and that bootstrap based confidence regions attain a prescribed confidence level up to the order O(N -1).

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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