%0 Journal Article %1 Kaufmann2000 %A Kaufmann, Edgar %D 2000 %J Extremes %K Extremes Penultimate %N 1 %P 39-55 %R 10.1023/A:1009971120468 %T Penultimate Approximations in Extreme Value Theory %V 3 %X Under a general von Mises condition and a second order regular variation condition, we derive exact penultimate approximation rates for maxima w.r.t. the variational distance. The approach is not restricted to the Gumbel domain of attraction. Moreover, it is shown that the improvement by penultimate approximation is of order n -1, if the penultimate rate is an algebraic function of the ultimate rate.

@article{Kaufmann2000, abstract = {Under a general von Mises condition and a second order regular variation condition, we derive exact penultimate approximation rates for maxima w.r.t. the variational distance. The approach is not restricted to the Gumbel domain of attraction. Moreover, it is shown that the improvement by penultimate approximation is of order n -1, if the penultimate rate is an algebraic function of the ultimate rate.}, added-at = {2014-01-09T11:38:16.000+0100}, author = {Kaufmann, Edgar}, biburl = {https://www.bibsonomy.org/bibtex/2ce02821a99d928b3b929b85aff9ef840/marsianus}, doi = {10.1023/A:1009971120468}, interhash = {1edc9b83bcda31cab4ef8b1048b37afa}, intrahash = {ce02821a99d928b3b929b85aff9ef840}, journal = {Extremes}, keywords = {Extremes Penultimate}, number = 1, pages = {39-55}, timestamp = {2014-01-09T11:39:30.000+0100}, title = {Penultimate Approximations in Extreme Value Theory}, volume = 3, year = 2000 }