Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/85747 
Year of Publication: 
1997
Series/Report no.: 
Tinbergen Institute Discussion Paper No. 97-016/4
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
We use a subsample bootstrap method to get a consistent estimate of the asymptotically optimal choice of the samplefraction, in the sense of minimal mean squared error, which is needed for tail index estimation. Unlike previous methodsour procedure is fully self contained. In particular, the method is not conditional on an initial consistent estimate of the tailindex; and the ratio of the first and second order tail indices is left unrestricted, but we require the ratio to be strictlypositive. Hence the current method yields a complete solution to tail index estimation as it is not predicated on a more orless arbitrary choice of the number of highest order statistics.
Subjects: 
Tail index
Bootstrap
Bias
Mean squared error
Document Type: 
Working Paper

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