几类Hill型估计量的强收敛速度
StrongConvergenceRatesofSeveralHill-TypeEstimators
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摘要: 当极值指标大于0时,在正规变化条件下,分别给出了Hill估计量、位置不变的Hill型估计量、右截断的Hill型估计量以及位置不变的右截断Hill型估计量的强收敛速度.Abstract: ThispaperestablishesthestrongconvergenceratesoftheHillestimator,thelocationinvariantHill-typeestimator,therightcensoredHill-typeestimatorandthelocationinvariantrightcensoredHilltypeestimatorundertheregularvariationconditionwhentheextremevalueindexispositive.
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