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

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Tinbergen Institute Discussion Paper ; No. 97-016/4

Classification and Topics

• Classification: Wirtschaft
• Subject: Tail index ; Bootstrap ; Bias ; Mean squared error ; Schätztheorie ; Wahrscheinlichkeitsrechnung ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Danielsson, J. ; de Haan, L. ; Peng, L. ; de Vries, C.G.
• Event: Veröffentlichung
• (who): Tinbergen Institute
• (where): Amsterdam and Rotterdam
• (when): 1997

Further information

• Handle: http://hdl.handle.net/10419/85747
• Last update: 10.03.2025, 11:45 AM CET