Estimation of the Shape Parameter of a Generalized Pareto Distribution Based on a Transformation to Pareto Distributed Variables
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Random variables of the generalized three-parameter Pareto distribution can be transformed to that of the Pareto distribution using an affine parameter-dependent transformation. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance of the estimation of the shape parameter of generalized Pareto distributed using estimated parameters to perform the transformation is tested. It was found to improve the performance with respect to relative efficiency.
KeywordsGeneralized Pareto Estimation Pareto Transformation
AMS Subject Classification62F10 62E17
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- Hosking, J. R. M. 1986. The theory of probability weighted moments. Research report RC12210. Yorktown Heights, NY: IBM Research Division.Google Scholar
- McNeil, A. J., and T. Saladin. 1997. The peaks over thresholds method for estimating high quantiles of loss distributions. In Proceeding of the 28th International ASTIN Colloquium (Cairns, Australia), Casual Actuarial Society, Arlington, VA, 22–43.Google Scholar