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What is Learnable in Valiant's Theory of the Learnable? 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On the estimation of the extreme value index for randomly right-truncated data and application
S. Benchaira, D. Meraghni, A. Necir · 2015-02-28 · via math.ST updates on arXiv.org

We introduce a consistent estimator of the extreme value index under random truncation based on a single sample fraction of top observations from truncated and truncation data. We establish the asymptotic normality of the proposed estimator by making use of the weighted tail-copula process framework and we check its finite sample behavior through some simulations. As an application, we provide asymptotic normality results for an estimator of the excess-of-loss reinsurance premium.

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