We prove that the probability distribution of Hill's estimator can be better approximated by a series of appropriate gamma distributions than by the limiting normal distribution.

hdl.handle.net/1765/7716
Tinbergen Institute Discussion Paper Series
Tinbergen Institute

Cheng, S., & de Haan, L. (1999). Penultimate Approximation for Hill's Estimator (No. TI 99-063/4). Tinbergen Institute Discussion Paper Series. Retrieved from http://hdl.handle.net/1765/7716