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Kernel estimation of the tail index of a right-truncated Pareto-type distribution

Article ID Journal Published Year Pages File Type
1151475 Statistics & Probability Letters 2016 8 Pages PDF
Abstract
An asymptotically normal kernel estimator for the positive tail index of right-truncated data is introduced. A simulation study shows that the proposed estimator performs much better than the existing ones in terms of bias.
Keywords
62P0562G3262G3060F17Random truncationKernel estimationProduct-limit estimatorExtreme value indexHeavy-tails
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Kernel estimation of the tail index of a right-truncated Pareto-type distribution
Authors
Souad Benchaira, Djamel Meraghni, Abdelhakim Necir,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
Related Categories
62P05
62G32
62G30
60F17
Random truncation
Kernel estimation
Product-limit estimator
Extreme value index
Heavy-tails
Algebra and Number Theory
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Applied Mathematics
Computational Mathematics
Control and Optimization
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