Asymptotic expansions for the location invariant moment-type estimator

作者：Peng Zuoxiang; Liu Miaomiao; Nadarajah Saralees^*

来源：Mathematics and Computers in Simulation, 2010, 80(5): 982-998.

DOI：10.1016/j.matcom.2009.12.002

• Asymptotic expansion
• Asymptotic normality
• Consistency
• Extreme value index

In this paper, based on moment-type and location invariant Hill estimators, a new kind of location invariant moment-type extreme value index estimator is proposed. The weak and strong consistency of the estimator are discussed. The asymptotic expansion of the estimator and its distribution are also considered under second order regularly varying conditions. The asymptotic normality is employed to construct the confidence interval. Monte Carlo simulations are performed to compare the Hill estimator and the moment estimator in terms of mean squared error.

• 出版日期2010-1
• 单位西南大学