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|a (JST)120112
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|a DE-627
|b ger
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|e rakwb
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|a eng
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|a Feuerverger, Andrey
|e verfasserin
|4 aut
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|a Estimating a Tail Exponent by Modelling Departure from a Pareto Distribution
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|c 1999
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
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|a We suggest two semiparametric methods for accommodating departures from a Pareto model when estimating a tail exponent by fitting the model to extreme-value data. The methods are based on approximate likelihood and on least squares, respectively. The latter is somewhat simpler to use and more robust against departures from classical extreme-value approximations, but produces estimators with approximately 64% greater variance when conventional extreme-value approximations are appropriate. Relative to the conventional assumption that the sampling population has exactly a Pareto distribution beyond a threshold, our methods reduce bias by an order of magnitude without inflating the order of variance. They are motivated by data on extrema of community sizes and are illustrated by an application in that context.
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|a Copyright 1999 The Institute of Mathematical Statistics
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|a Bias reduction
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|a Extreme-value theory
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|a Log-spacings
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|a Maximum likelihood
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|a Order statistics
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|a Peaks-over-threshold
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|a Regression
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|a Regular variation
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|a Spacings
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|a Zipf's law
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
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|a Mathematics
|x Mathematical expressions
|x Mathematical functions
|x Transcendental functions
|x Logarithms
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
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|a Mathematics
|x Applied mathematics
|x Analytics
|x Analytical estimating
|x Maximum likelihood estimation
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
|x Maximum likelihood estimators
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Statistical theories
|x Estimation theory
|x Estimation bias
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Measures of variability
|x Statistical variance
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|a Behavioral sciences
|x Sociology
|x Human societies
|x Social groups
|x Communities
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|a Mathematics
|x Mathematical procedures
|x Approximation
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|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Extreme Value Estimation
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|a research-article
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|a Hall, Peter
|e verfasserin
|4 aut
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|i Enthalten in
|t The Annals of Statistics
|d Institute of Mathematical Statistics
|g 27(1999), 2, Seite 760-781
|w (DE-627)270129162
|w (DE-600)1476670-X
|x 00905364
|7 nnns
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|g volume:27
|g year:1999
|g number:2
|g pages:760-781
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|u https://www.jstor.org/stable/120112
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|d 27
|j 1999
|e 2
|h 760-781
|