, Volume 31, Issue 1, pp 77–83 | Cite as

Best unbiased estimators for the parameters of a two-parameter Pareto distribution

  • S. K. Saksena
  • A. M. Johnson


For a two-parameter Pareto distributionMalik [1970] has shown that the maximum likelihood estimators of the parameters are jointly sufficient. In this article the maximum likelihood estimators are shown to be jointly complete. Furthermore, unbiased estimators for the two parameters are obtained and are shown to be functions of the jointly complete sufficient statistics, thereby establishing them as the best unblased estimators of the two parameters.


Maximum Likelihood Estimator Unbiased Estimator Pareto Distribution Exponential Family Positive Skewness 
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Copyright information

© Physica-Verlag 1984

Authors and Affiliations

  • S. K. Saksena
    • 1
  • A. M. Johnson
    • 2
  1. 1.Department of Mathematical SciencesUniversity of North Carolina at WilmingtonWilmingtonUSA
  2. 2.Department of Mathematics and Computer ScienceUniversity of ArkansasLittle RockUSA

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