Using a Bootstrap Method to choose the Sample Fraction in Tail Index Estimation

Jon Danielsson, L. de Haan, L. Peng and Casper de Vries
Additional contact information
L. de Haan: Erasmus University Rotterdam
L. Peng: Erasmus University Rotterdam

No 97-016/4, Tinbergen Institute Discussion Papers from Tinbergen Institute

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.

Keywords: Tail index; Bootstrap; Bias; Mean squared error (search for similar items in EconPapers)
Date: 1997-01-30
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation (2001)
Working Paper: Using a bootstrap method to choose the sample fraction in tail index estimation (2000)
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Persistent link: https://EconPapers.repec.org/RePEc:tin:wpaper:19970016

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