TY - JOUR
AU - Shaby, Benjamin A
AB - SummaryThe three-parameter generalized extreme value distribution arises from classical univariate extreme value theory, and is in common use for analysing the far tail of observed phenomena, yet important asymptotic properties of likelihood-based estimation under this standard model have not been established. In this paper we prove that the maximum likelihood estimator is global and unique. An interesting secondary result entails the uniform consistency of a class of limit relations in a tight neighbourhood of the true shape parameter.
TI - Uniqueness and global optimality of the maximum likelihood estimator for the generalized extreme value distribution
JO - Biometrika
DO - 10.1093/biomet/asab043
DA - 2021-08-19
UR - https://www.deepdyve.com/lp/oxford-university-press/uniqueness-and-global-optimality-of-the-maximum-likelihood-estimator-OGk3xVy38D
SP - 853
EP - 864
VL - 109
IS - 3
DP - DeepDyve
ER -