 |
Free and accessible knowledge |
Journal articles
Estimating an endpoint with high order moments in the Weibull domain of attraction
Abstract : We present a method for estimating the endpoint of a unidimensional sample when the distribution function belongs to the Weibull-max domain of attraction. The approach relies on transforming the variable of interest and then using high order moments of the positive variable obtained this way. It is assumed that the order of the moments goes to infinity. We give conditions on the rate of divergence to get the weak and strong consistency as well as the asymptotic normality of the estimator. The good performance of the estimator is illustrated on some finite sample situations.
https://hal.archives-ouvertes.fr/hal-00648435
Contributor : Gilles Stupfler Connect in order to contact the contributor
Submitted on : Friday, November 30, 2012 - 4:12:02 PM
Last modification on : Friday, February 4, 2022 - 3:26:46 AM
Long-term archiving on: : Friday, March 1, 2013 - 3:56:55 AM
Contributor : Gilles Stupfler Connect in order to contact the contributor
Submitted on : Friday, November 30, 2012 - 4:12:02 PM
Last modification on : Friday, February 4, 2022 - 3:26:46 AM
Long-term archiving on: : Friday, March 1, 2013 - 3:56:55 AM
File
weibull_logratio_revised.pdf
Files produced by the author(s)