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一类简化的Pickands型估计 被引量:8

A KIND OF SIMPLIFIED PICKANDS-TYPE ESTIMATOR
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摘要 本文研究了一类简化的Pickands型估计的相合性、渐近正态性和强收敛速度. In this note, the consistency, asymptotic normality and strong convergence rate of a kind of simplified pickands-type estimator was given.
作者 彭作祥
出处 《应用数学学报》 CSCD 北大核心 1998年第4期539-542,共4页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金
关键词 Pickands型估计 相合性 渐近正态性 强收敛 Pickands-type estimator, consistency, asymptotic normality,strong convergence
  • 相关文献

参考文献4

  • 1潘家柱,北京大学学报,1995年,3卷,291页
  • 2潘家柱,数学年刊.A,1995年,16卷,2期,173页
  • 3Cheng Shihong,Asymptotic Expansions and Comparisons for Estimators of the Tail Index of a Distribution,1994年
  • 4Qi Yongcheng,Chin Sci Bull,1992年,37卷,1409页

同被引文献27

  • 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
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  • 3[4]Qi Y,Cheng S.Convergence of Pickands-Type Estimator[J].Chinese Science Bulletin,1992,37:1409-1413.
  • 4[6]Reiss R D.Approximate Distributions of Order Statistic with Applications to Nonparametric Statistics[M].New York:Springer Verlag,1989.
  • 5[1]J Pickands.Statistical Inference Using Extreme Order Statistics[J].Ann Statist,1975,(3):119-131.
  • 6[2]Dekkers A L M,De Haan L.On the Estimation of the Extreme-value Index and Large Quantile Estimation[J].Ann Statist,1989,(17):1795-1832.
  • 7[6]Dekkers A L M,De Haan L.Optimal choice of sample fraction in extreme-value estimation[J].J.Multivariate Anal.,1993,(47):173-195.
  • 8[7]L de Haan U.Statmüller Gneralized regular variation of second order[J].Austral Math Soc,1996,(61A):381-395.
  • 9[8]Geluk J L,de Haan L.Regular variation,extensions and Tauberian theorems[J].CWI Tract 40,Amsterdam,1987.
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