Bias - Corrected Maximum Likelihood Estimation of the Parameters of the Generalized Pareto Distribution
We derive analytic expressions for the biases, to O(n-1), of the maximum likelihood estimators of the parameters of the generalized Pareto distribution. Using these expressions to bias-correct the estimators is found to be extremely effective in terms of bias reduction, and can also result in a small reduction in relative mean squared error. In terms of remaining relative bias, the analytic bias-corrected estimators are somewhat less effective than their counterparts obtained by using a parametric bootstrap bias correction. However, the analytic correction out-performs the bootstrap correction in terms of remaining %MSE. Taking into account the relative computational costs, this leads us to recommend the use of the analytic bias adjustment for most practical situations.
|Date of creation:||11 Oct 2011|
|Date of revision:|
|Contact details of provider:|| Postal: PO Box 1700, STN CSC, Victoria, BC, Canada, V8W 2Y2|
Web page: http://web.uvic.ca/econ
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:vic:vicewp:1105. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (David Giles)
If references are entirely missing, you can add them using this form.