Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Efficient Estimation of the Parameters of the Pareto Distribution in the Presence of Outliers

  • Dixit, U.J. (Department of Statistics, University of Mumbai) ;
  • Jabbari Nooghabi, M. (Department of Statistics, University of Mumbai)
  • Received : 20110300
  • Accepted : 20110900
  • Published : 2011.11.30
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Abstract

The moment(MM) and least squares(LS) estimations of the parameters are derived for the Pareto distribution in the presence of outliers. Further, we have derived a mixture method(MIX) of estimations with MM and LS that shows that the MIX is more efficient. In the final section we have given an example of actual data from a medical insurance company.

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References

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  2. Comments on two papers concerning estimation of the parameters of the Pareto distribution in the presence of outliers vol.13, 2013, https://doi.org/10.1016/j.stamet.2012.12.002
  3. A Pareto scale-inflated outlier model and its Bayesian analysis vol.2015, pp.3, 2015, https://doi.org/10.1080/03461238.2013.807469
  4. On the identification of extreme outliers and dragon-kings mechanisms in the upper tail of income distribution pp.1360-0532, 2019, https://doi.org/10.1080/02664763.2019.1566447