Asymptotically efficient estimation of the index of regular variation
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Publication:1922379
DOI10.1214/aos/1034713646zbMath0854.62022OpenAlexW2021942325MaRDI QIDQ1922379
Publication date: 19 January 1997
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1034713646
order statisticsasymptotic normalityconditional densityslowly varying functionLANconditional maximum likelihood estimatorasymptotically efficient estimatoriterative estimatorindex of regular variation
Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20)
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Cites Work
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- Tail estimates motivated by extreme value theory
- Best attainable rates of convergence for estimates of parameters of regular variation
- Kernel estimates of the tail index of a distribution
- Adaptive estimates of parameters of regular variation
- On asymptotic normality of Hill's estimator for the exponent of regular variation
- Estimating tails of probability distributions
- Laws of large numbers for sums of extreme values
- Statistical inference using extreme order statistics
- A simple general approach to inference about the tail of a distribution
- Central limit theorems for sums of extreme values
- SLOW VARIATION WITH REMAINDER: THEORY AND APPLICATIONS
- On the Optimality of Estimating the Tail Index and a Naive Estimator
- ON THE USE OF THE EMPIRICAL DISTRIBUTION AND CHARACTERISTIC FUNCTION TO ESTIMATE PARAMETERS OF REGULAR VARIATION