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.
Publié le : 1984-09-14
Classification:
Estimating parameters of regular variation,
62G05,
62G30
@article{1176346723,
author = {Hall, Peter and Welsh, A. H.},
title = {Best Attainable Rates of Convergence for Estimates of Parameters of Regular Variation},
journal = {Ann. Statist.},
volume = {12},
number = {1},
year = {1984},
pages = { 1079-1084},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346723}
}
Hall, Peter; Welsh, A. H. Best Attainable Rates of Convergence for Estimates of Parameters of Regular Variation. Ann. Statist., Tome 12 (1984) no. 1, pp. 1079-1084. http://gdmltest.u-ga.fr/item/1176346723/