Estimating a Tail Exponent by Modelling Departure from a Pareto Distribution

We suggest two semiparametric methods for accommodating departures from a Pareto model when estimating a tail exponent by fitting the model to extreme-value data. The methods are based on approximate likelihood and on least squares, respectively. The latter is somewhat simpler to use and more robust...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:The Annals of Statistics. - Institute of Mathematical Statistics. - 27(1999), 2, Seite 760-781
1. Verfasser: Feuerverger, Andrey (VerfasserIn)
Weitere Verfasser: Hall, Peter
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1999
Zugriff auf das übergeordnete Werk:The Annals of Statistics
Schlagworte:Bias reduction Extreme-value theory Log-spacings Maximum likelihood Order statistics Peaks-over-threshold Regression Regular variation Spacings Zipf's law mehr... Mathematics Behavioral sciences