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Article by |
֤���˸ù�������ǿ�������, �������佥��չʽ��ǿ�����ٶ�,
����$k_2$������ѡ�����������,
�����������Ӧ�Է����Ըù�����������Pickands�������������ģ�����,
�Ƚϸù���������Խ��.
a location invariant Pickands-type estimator as the extreme index is
positive. Its weak and strong convergence are proved. Asymptotical
representation and strong convergence rate are derived, and the
optimal choice of $k_2$ is found. At last simulation and comparison
of this new kind of Pickands-type estimator with other known
Pickands-type estimators are considered by using the adaptive
algorithm.