Best unbiased estimators for the parameters of a two-parameter Pareto distribution
For a two-parameter Pareto distributionMalik  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.
KeywordsMaximum Likelihood Estimator Unbiased Estimator Pareto Distribution Exponential Family Positive Skewness
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