Journal of Statistical Theory and Practice

, Volume 9, Issue 1, pp 171–183 | Cite as

Estimation of the Shape Parameter of a Generalized Pareto Distribution Based on a Transformation to Pareto Distributed Variables

  • J. Martin van ZylEmail author


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.


Generalized Pareto Estimation Pareto Transformation 

AMS Subject Classification

62F10 62E17 


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Copyright information

© Grace Scientific Publishing 2015

Authors and Affiliations

  1. 1.Department of Mathematical Statistics and Actuarial ScienceUniversity of the Free StateBloemfonteinSouth Africa

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