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A BIAS-REDUCED ESTIMATION FOR REINSURANCE RISK PREMIUMS OF HEAVY-TAILED LOSS DISTRIBUTIONS UNDER RANDOM TRUNCATION
Keywords:
risk measure, estimation, heavy-tailed, Bias reduction, reinsuranceDOI:
https://doi.org/10.17654/0972086324012Abstract
In this paper, we propose an asymptotically normal estimator of the reinsurance premium for the losses distribution under random truncation. Our estimator is based on the reduced bias of the tail index and small exceedance probabilities of a heavy-tailed distribution from right truncated losses. Moreover, we illustrate the behaviour of the proposed estimator and give a comparison between this estimator and the classical one in terms of the bias and the mean square error (MSE).
Received: January 8, 2024
Accepted: April 8, 2024
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