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Pickands估计的强收敛速度 被引量:1

Rate of Strong Convergence of Pickands' Estimator
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摘要 在本文中,我们建立了极值分布指数γ的Pickands估计的a.s.收敛速度,即在很弱的条件下。 In this note,we establish results on the rate of a.s. convergence of Pickands' estimator for the index of an extreme-value distribution。
作者 潘家柱
出处 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 1995年第3期291-296,共6页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金
关键词 Pickands估计 极值分布 收敛速度 Pickands' estimator extreme-value distribution rate of convergence
  • 相关文献

参考文献2

  • 1潘家柱,Chin Ann Math B,1994年,2期
  • 2Qi Yongcheng,Chin Sci Bull,1992年,37卷,1409页

同被引文献16

  • 1祁永成,程士宏.CONVERGENCE OF PICKANDS-TYPE ESTIMATORS[J].Chinese Science Bulletin,1992,37(17):1409-1413. 被引量:3
  • 2de Haan L.Extreme value statistics[C]//Janos Galambos,et al.,Extreme Value Theory and Applications,Netherlands:Kluwer Academic Publishers,1994:93-122.
  • 3Dekkers A L M,de Haan L.On the estimation of the extreme-value index and large quantile estimation[J].Annals of Statistics,1989,17(4):1795-1832.
  • 4Dekkers A L M,et al.A moment estimation for the index of extreme-value distribution[J].Annals of Statistics,1989,17(4):1833-1855.
  • 5Draisma G,et al.A bootstrap-based method to achieve optimality in estimating the extreme-value index[J].Extremes,1999,2(4):367-404.
  • 6Ferreira A,et al.On optimising the estimation of high quantiles of a probability distribution[J].Statistics,2003,37(5):401-434.
  • 7Hfisler J,etal.Weighted least squares estimation of the extreme value index[J].Statistics Probability Letters,2006,76(9):920-930.
  • 8Pan J Z.On asymptotic normality of Pickands' estimator for the index of an extreme-value distribution[J].Chinese Annals of Mathematics,1995,16A(2):173-180.
  • 9Paulauskas V.A new estimator for a tail index[J].Acta Applicandae Mathematicae,2003,79(1-2):55-67.
  • 10Peng L,Qi Y C.Confidence regions for high quantiles of a heavy tailed distribution[J].Annals of Statistics,2006,34(4):1964-1986.

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