Open Access
September, 1984 Best Attainable Rates of Convergence for Estimates of Parameters of Regular Variation
Peter Hall, A. H. Welsh
Ann. Statist. 12(3): 1079-1084 (September, 1984). DOI: 10.1214/aos/1176346723

Abstract

We derive lower bounds to rates of convergence for estimators of shape and scale parameters in distributions with regularly varying tails. We exhibit simple estimators which attain these rates.

Citation

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Peter Hall. A. H. Welsh. "Best Attainable Rates of Convergence for Estimates of Parameters of Regular Variation." Ann. Statist. 12 (3) 1079 - 1084, September, 1984. https://doi.org/10.1214/aos/1176346723

Information

Published: September, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0539.62048
MathSciNet: MR751294
Digital Object Identifier: 10.1214/aos/1176346723

Subjects:
Primary: 62G05
Secondary: 62G30

Keywords: Estimating parameters of regular variation

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 3 • September, 1984
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